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Products of Finitely Many Resolvents of Maximal Monotone Mappings in Reflexive Banach Spaces

https://doi.org/10.1137/100799873
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems
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Forcing strong convergence of proximal point iterations in a Hilbert space
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A projection method for solving nonlinear problems in reflexive Banach spaces
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The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
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A strongly convergent hybrid proximal method in Banach spaces
inferredcites →https://doi.org/10.1016/j.na.2003.10.010openalex-snapshot
Projection and proximal point methods: convergence results and counterexamples
inferredcites →https://doi.org/10.1016/j.na.2004.07.054openalex-snapshot
The asymptotic behavior of the composition of two resolvents
inferredcites →https://doi.org/10.1016/j.na.2007.11.031openalex-snapshot
Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
inferredcites →https://doi.org/10.1016/j.na.2010.03.005openalex-snapshot
Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
inferredcites →https://doi.org/10.1016/s0362-546x(04)00344-xopenalex-snapshot
The asymptotic behavior of the composition of two resolvents
inferredcites →https://doi.org/10.1023/a:1008654413997openalex-snapshot
Iterative Averaging of Entropic Projections for Solving Stochastic Convex Feasibility Problems
inferredcites →https://doi.org/10.1073/pnas.56.4.1080openalex-snapshot
EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
inferredcites →https://doi.org/10.1080/01630560701766668openalex-snapshot
Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces
inferredcites →https://doi.org/10.1080/01630560903499852openalex-snapshot
Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
inferredcites →https://doi.org/10.1080/0233193031000120039openalex-snapshot
Iterative Algorithms for Equilibrium Problems
inferredcites →https://doi.org/10.1080/02331939608844225openalex-snapshot
Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
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Construction of best Bregman approximations in reflexive Banach spaces
inferredcites →https://doi.org/10.1137/0314056openalex-snapshot
Monotone Operators and the Proximal Point Algorithm
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On the Convergence of the Proximal Point Algorithm for Convex Minimization
inferredcites →https://doi.org/10.1137/070682071openalex-snapshot
A Proximal-Projection Method for Finding Zeros of Set-Valued Operators
inferredcites →https://doi.org/10.1137/s0036144593251710openalex-snapshot
On Projection Algorithms for Solving Convex Feasibility Problems
inferredcites →https://doi.org/10.1137/s0363012902407120openalex-snapshot
Bregman Monotone Optimization Algorithms
inferredcites →https://doi.org/10.1137/s036301299732626xopenalex-snapshot
Strong Convergence of Block-Iterative Outer Approximation Methods for Convex Optimization
inferredcites →https://doi.org/10.1142/5021openalex-snapshot
Convex Analysis in General Vector Spaces
inferredcites →https://doi.org/10.1142/s0219199701000524openalex-snapshot
ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
inferredcites →https://doi.org/10.1155/2008/528476openalex-snapshot
Strong Convergence Theorem by a New Hybrid Method for Equilibrium Problems and Relatively Nonexpansive Mappings
inferredcites →https://doi.org/10.1155/aaa/2006/84919openalex-snapshot
Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
inferredcites →https://doi.org/10.12775/tmna.2000.012openalex-snapshot
Infinite products of resolvents of accretive operators
inferredcites →https://doi.org/10.1287/moor.1.2.97openalex-snapshot
Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
inferredcites →https://doi.org/10.1287/moor.26.2.248.10558openalex-snapshot
A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
inferredcites →https://doi.org/10.68381/jca04002openalex-snapshot
Legendre Functions and the Method of Random Bregman Projections
inferredcites →https://doi.org/10.68381/jca1002openalex-snapshot
On Uniform Convexity, Total Convexity and Convergence of the Proximal Point and Outer Bregman Projection Algorithms in Banach Spaces
inferredcites →https://doi.org/10.68381/jca11001openalex-snapshot
On Total Convexity, Bregman Projections and Stability in Banach Spaces

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A Glimpse at Pointwise Asymptotic Stability for Continuous-Time and Discrete-Time Dynamics
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A New Algorithm for Finding Fixed Points of Bregman Quasi-Nonexpansive Mappings and Zeros of Maximal Monotone Operators by Using Products of Resolvents
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A hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spaces
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A hybrid extragradient method for solving pseudomonotone equilibrium problems using Bregman distance
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A Douglas–Rachford splitting method for solving equilibrium problems
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Most maximally monotone operators have a unique zero and a super-regular resolvent
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Strong Convergence Theorems for a Countable Family of Multi-Valued Bregman Quasi-Nonexpansive Mappings in Reflexive Banach Spaces
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Strong Convergence Theorem Obtained by a Generalized Projections Method for Solving an Equilibrium Problem and Fixed Point Problems
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Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
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A general algorithm for multiple-sets split feasibility problem involving resolvents and Bregman mappings
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The split common null point problem for Bregman generalized resolvents in two Banach spaces
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Shrinking projection method for solving inclusion problem and fixed point problem in reflexive Banach spaces
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Regularizing with Bregman--Moreau Envelopes
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A new algorithm for finding fixed points of Bregman asymptotically regular quasi-nonexpansive mapping and solutions of equilibrium problems
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Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces
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A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method
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Bregman weak relatively nonexpansive mappings in Banach spaces
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Parallel iterative methods for solving the common null point problem in Banach spaces
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Strong convergence theorems for mixed equilibrium problems and Bregman relatively nonexpansive mappings in reflexive Banach spaces
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Strong convergence of Halpern iteration for products of finitely many resolvents of maximal monotone operators in Banach spaces
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Split equality common null point problem for Bregman quasi-nonexpansive mappings
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Weak and strong convergence results for sum of two monotone operators in reflexive Banach spaces
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An iterative process for a finite family of Bregman totally quasi-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems in reflexive Banach spaces
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A Self-Adaptive Shrinking Projection Method with an Inertial Technique for Split Common Null Point Problems in Banach Spaces
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Subgradient Extra-Gradient Algorithm for Pseudomonotone Equilibrium Problems and Fixed-Point Problems of Bregman Relatively Nonexpansive Mappings
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A Strong Convergence Theorem for finite families of Bregman Demimetric Mappings in a Banach Space under a New Shrinking projection Method
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Strong convergence theorems for Bregman quasi-asymptotically nonexpansive mappings and equilibrium problem in reflexive Banach spaces
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