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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf02756485openalex-snapshot
On the range of accretive operators
inferredcites →https://doi.org/10.1007/bf02757276openalex-snapshot
An example concerning fixed points
inferredcites →https://doi.org/10.1007/bf03007664openalex-snapshot
Quelques propriétés des opérateurs angle-bornés etn-cycliquement monotones
inferredcites →https://doi.org/10.1016/0022-1236(75)90027-0openalex-snapshot
Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
inferredcites →https://doi.org/10.1090/s0002-9904-1966-11543-4openalex-snapshot
The solution by iteration of linear functional equations in Banach spaces
inferredcites →https://doi.org/10.1090/s0002-9904-1966-11544-6openalex-snapshot
The solution by iteration of nonlinear functional equations in Banach spaces
inferredcites →https://doi.org/10.1090/s0002-9904-1967-11761-0openalex-snapshot
Weak convergence of the sequence of successive approximations for nonexpansive mappings
inferredcites →https://doi.org/10.1090/s0002-9904-1975-13874-2openalex-snapshot
An iterative solution of a variational inequality for certain monotone operators in Hilbert space
inferredcites →https://doi.org/10.1137/0314056openalex-snapshot
Monotone Operators and the Proximal Point Algorithm
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A viscosity forward‐backward splitting approximation method in Banach spaces and its application to convex optimization and image restoration problems
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Steepest‐descent proximal point algorithms for a class of variational inequalities in Banach spaces
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A decomposition procedure for large‐scale optimum plastic design problems
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Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces
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Viscosity Approximation Methods for Fixed-Points Problems
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Proximal Splitting Methods in Signal Processing
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Ergodic Convergence in Proximal Point Algorithms with Bregman Functions
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A New Fixed Point Theorem for Systems of Inclusion Problems in Banach Spaces
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A Mann Type Iterative Algorithm for Bounded and Strongly Monotone Mappings in Certain Banach Spaces
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Asymptotic properties of solutions to evolution equations
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Convex Optimization in Normed Spaces: Theory, Methods and Examples
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Convergence Rate Analysis of Several Splitting Schemes
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Weak and Strong Convergence Theorems for Nonlinear Operators of Accretive and Monotone Type and Applications
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Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
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Iterative algorithms with errors for zeros of accretive operators in banach spaces
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Strong and $$\Delta $$ Δ -Convergence to a Zero of a Monotone Operator in CAT(0) Spaces
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Product of Resolvents on Hadamard Manifolds
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Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces
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Exponential weight algorithm in continuous time
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Computer-assisted design of accelerated composite optimization methods: OptISTA
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Linear convergence of epsilon-subgradient descent methods for a class of convex functions
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Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces
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Inertial proximal point algorithm on Hadamard manifolds: convergence analysis and finite termination
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Hybrid Splitting Methods for the System of Operator Inclusions with Monotone Operators1
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Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces
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Abstract strongly convergent variants of the proximal point algorithm
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Accelerated forward–backward algorithms for structured monotone inclusions
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An abstract proximal point algorithm
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Weak convergence of an extended splitting method for monotone inclusions
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An Inexact Proximal-Type Algorithm in Banach Spaces
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On the Proximal Point Algorithm
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Strong Convergence of an Iterative Scheme by a New Type of Projection Method for a Family of Quasinonexpansive Mappings
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Some Remarks on the Proximal Point Algorithm
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On the Strong Convergence of Halpern Type Proximal Point Algorithm
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The Proximal Point Algorithm Revisited
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Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates
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Comments on “The Proximal Point Algorithm Revisited”
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Lagrangian Penalization Scheme with Parallel Forward–Backward Splitting
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Asymptotic Equivalence of Evolution Equations Governed by Cocoercive Operators and Their Forward Discretizations
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A Telescopic Bregmanian Proximal Gradient Method Without the Global Lipschitz Continuity Assumption
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Strong Convergence of an Inexact Proximal Point Algorithm in a Banach Space
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A Strongly Convergent Proximal Point Method for Vector Optimization
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Proximal Point Method with Bregman Regularization for Multiobjective Optimization Problems on Hadamard Manifolds
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A generalized forward-backward splitting method for solving quasi inclusion problems in Banach spaces
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Iterative methods for solving quasi-variational inclusion and fixed point problem in q-uniformly smooth Banach spaces
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An inexact proximal point method with quasi-distance for quasiconvex multiobjective optimization problems on Riemannian manifolds
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Convergence analysis of an inexact inertial proximal point algorithm for multiobjective quasiconvex optimization problems
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Weak and Strong Convergence Theorems for Maximal Monotone Operators in a Banach Space
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A Generalized Proximal Point Algorithm and Implicit Iterative Schemes for a Sequence of Operators on Banach Spaces
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Lagrangian-Penalization Algorithm for Constrained Optimization and Variational Inequalities
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Finite Convergence of the Proximal Point Algorithm for Variational Inequality Problems
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New inertial factors of the Krasnosel’skiı-Mann iteration
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Inertial Krasnoselskii-Mann Iterations
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Proximal Algorithms for a Class of Abstract Convex Functions
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On A Proximal-Point Algorithm For Solving the Minimization Problem and Common Fixed-Point Problem in Cat(k) Spaces
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A New Rank-two Semidefinite Programming Relaxation Method for Multiuser Detection Problem
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Old and new challenges in Hadamard spaces
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Existence and boundedness of solutions to inclusion problems for maximal monotone vector fields in Hadamard manifolds
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Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method
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Iterative methods for a class of variational inequalities in Hilbert spaces
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Dynamical and proximal approaches for approximating fixed points of quasi-nonexpansive mappings
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A multi-step approximant for fixed point problem and convex optimization problem in Hadamard spaces
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Generating Halpern-type iterative schemes to solve fixed point and null point problems
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The proximal point algorithm in metric spaces
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Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization
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Iterative algorithm for zeros of multivalued accretive operators in certain Banach spaces
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Strong convergence result of forward–backward splitting methods for accretive operators in banach spaces with applications
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Solving Yosida inclusion problem in Hadamard manifold
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A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise
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New Algorithms for a Class of Accretive Variational Inequalities in Banach Spaces
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Convergence of Dissipative-Like Dynamics and Algorithms Governed by Set-Valued Nonexpansive Mappings
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The method of cyclic resolvents for quasi-convex functions and quasi-nonexpansive mappings
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Stability of solutions of nonlinear boundary-value problems for hyperbolic systems
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Viscosity Methods for Some Applied Nonlinear Analysis Problems
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New properties of forward–backward splitting and a practical proximal-descent algorithm
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Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces
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Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization
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Finite termination of the proximal point algorithm in Banach spaces
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Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces
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Further improvement of a coefficient condition for a weakly convergent iterative scheme
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Strong convergence of viscosity approximation methods for finding zeros of accretive operators in Banach spaces
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Alternating proximal algorithms for linearly constrained variational inequalities: Application to domain decomposition for PDE’s
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The proximal point algorithm with a general perturbation on geodesic spaces
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Weak and Strong Convergence of Solutions to Accretive Operator Inclusions and Applications
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New Advances in the Study of the Proximal Point Algorithm
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A modified extragradient method for variational inclusion and fixed point problems in Banach spaces
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Two proximal splitting methods in Hadamard spaces
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Constructing zeros of accretive operators
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Constructing zeros of accretive operators II
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Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
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Proximal Point Method for Quasi-Equilibrium Problems in Banach Spaces
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Approximating a Solution of the Inclusion Problem for an Infinite Family of Monotone Operators in Hadamard Spaces and Its Applications
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Second order difference equations of monotone type
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Asymptotic behaviour of the solutions of second order difference equations associated to monotone operators
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Solving monotone inclusions via compositions of nonexpansive averaged operators
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Proximal point algorithm for infinite pseudo-monotone bifunctions
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New results on the proximal point algorithm in non-positive curvature metric spaces
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On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces
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Approximating a common zero of finite family of monotone operators in Hadamard spaces
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A convergence rate of the proximal point algorithm in Banach spaces
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Modified proximal point algorithms involving convex combination technique for solving minimization problems with convergence analysis
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Revisiting jointly firmly nonexpansive families of mappings
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Proximal point methods with possible unbounded errors for monotone operators in Hadamard spaces
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On the diagonal proximal point algorithms
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Multi-step-prox-regularization method for solving convex variation problems
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Existence and asymptotic behaviour of solutions to first- and second-order difference equations with periodic forcing
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Convergence rate estimates for the gradient differential inclusion
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Convergence analysis of the proximal point algorithm for pseudo-monotone equilibrium problems
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On the proximal point algorithm for strongly quasiconvex functions in Hadamard spaces
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A new proximal point iteration that converges weakly but not in norm
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On convergence of the proximal point algorithm in Banach spaces
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A stochastic proximal point algorithm: convergence and application to convex optimization
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Convergence and rate of convergence of a non-autonomous gradient system on Hadamard manifolds
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On the Convergence of the Proximal Point Algorithm for Convex Minimization
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Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space
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Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
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New Proximal Point Algorithms for Convex Minimization
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Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
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Prox-Penalization and Splitting Methods for Constrained Variational Problems
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Products of Finitely Many Resolvents of Maximal Monotone Mappings in Reflexive Banach Spaces
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Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities
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Computing Medians and Means in Hadamard Spaces
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Ergodic Convergence of a Stochastic Proximal Point Algorithm
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Convergence Rates of Inertial Forward-Backward Algorithms
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Tight Sublinear Convergence Rate of the Proximal Point Algorithm for Maximal Monotone Inclusion Problems
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Potential Function-Based Framework for Minimizing Gradients in Convex and Min-Max Optimization
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Accelerating Preconditioned ADMM via Degenerate Proximal Point Mappings
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Bregman Monotone Optimization Algorithms
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Proximal Methods for Cohypomonotone Operators
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Strong Convergence of a Proximal-Type Algorithm in a Banach Space
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Convergence of Proximal-Like Algorithms
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Iterative Algorithm for Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces
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Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m‐Accretive Mappings in Uniformly Convex Banach Spaces
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Strong and Weak Convergence of the Modified Proximal Point Algorithms in Hilbert Space
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Asymptotic Behavior of a Discrete Nonlinear Oscillator with Damping Dynamical System
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Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces
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Strong Convergence Theorems of the CQ Algorithm for H -Monotone Operators in Hilbert Spaces
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General Split Variational Inclusion Problem in Hilbert Spaces
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Iterative Approximations for Zeros of Sum of Accretive Operators in Banach Spaces
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A weak ergodic theorem for infinite products of Lipschitzianmappings
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Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
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ON THE CONVERGENCE OF INEXACT PROXIMAL POINT ALGORITHM ON HADAMARD MANIFOLDS
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PROXIMAL POINT ALGORITHMS AND FOUR RESOLVENTS OF NONLINEAR OPERATORS OF MONOTONE TYPE IN BANACH SPACES
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Some results on Rockafellar-type iterative algorithms for zeros of accretive operators
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Composite iterative schemes for maximal monotone operators in reflexive Banach spaces
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Strong convergence of a proximal-type algorithm for an occasionally pseudomonotone operator in Banach spaces
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