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A novel class of forward-backward explicit iterative algorithms using inertial techniques to solve variational inequality problems with quasi-monotone operators

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

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Ishikawa and Mann Iterative Process with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces
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Viscosity Approximation Methods for Fixed-Points Problems
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Network Economics
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On strong pseudomonotonicity and (semi)strict quasimonotonicity
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Weak convergence of iterative methods for solving quasimonotone variational inequalities
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Some iterative methods for nonconvex variational inequalities
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Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems
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Strong Convergence of Self-adaptive Inertial Algorithms for Solving Split Variational Inclusion Problems with Applications
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The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space
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A Modified Projected Gradient Method for Monotone Variational Inequalities
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An inertial subgradient-type method for solving single-valued variational inequalities and fixed point problems
inferredcites →https://doi.org/10.1007/s11075-021-01243-1openalex-snapshot
Revisiting subgradient extragradient methods for solving variational inequalities
inferredcites →https://doi.org/10.1007/s11228-008-0102-zopenalex-snapshot
Strong Convergence of Projected Subgradient Methods for Nonsmooth and Nonstrictly Convex Minimization
inferredcites →https://doi.org/10.1007/s13398-021-01017-3openalex-snapshot
Two new extragradient methods for solving equilibrium problems
inferredcites →https://doi.org/10.1016/s0377-2217(02)00290-4openalex-snapshot
Factorization of Minty and Stampacchia variational inequality systems
inferredcites →https://doi.org/10.1080/02331934.2010.539689openalex-snapshot
Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
inferredcites →https://doi.org/10.1080/02331934.2018.1523404openalex-snapshot
Modified subgradient extragradient algorithms for solving monotone variational inequalities
inferredcites →https://doi.org/10.1080/02331934.2020.1860979openalex-snapshot
The extragradient method for quasi-monotone variational inequalities
inferredcites →https://doi.org/10.1080/02331939708844365openalex-snapshot
A variant of korpelevich’s method for variational inequalities with a new search strategy
inferredcites →https://doi.org/10.1080/10556788.2010.551536openalex-snapshot
Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
inferredcites →https://doi.org/10.1080/10556788.2020.1734805openalex-snapshot
Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems
inferredcites →https://doi.org/10.1137/1.9780898719451openalex-snapshot
An Introduction to Variational Inequalities and Their Applications
inferredcites →https://doi.org/10.1137/1029059openalex-snapshot
Variational and Quasivariational Inequalities Applications to Free—Boundary ProbLems. (Claudio Baiocchi And António Capelo)
inferredcites →https://doi.org/10.1137/s0363012998338806openalex-snapshot
A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
inferredcites →https://doi.org/10.1186/s13660-019-2032-8openalex-snapshot
On the weak convergence for solving semistrictly quasi-monotone variational inequality problems
inferredcites →https://doi.org/10.1186/s13660-019-2233-1openalex-snapshot
Weak convergence of explicit extragradient algorithms for solving equilibirum problems
inferredcites →https://doi.org/10.1186/s13660-020-2306-1openalex-snapshot
Composite extragradient implicit rule for solving a hierarch variational inequality with constraints of variational inclusion and fixed point problems
inferredcites →https://doi.org/10.1186/s13660-021-02591-1openalex-snapshot
Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications
inferredcites →https://doi.org/10.1186/s13660-021-02683-yopenalex-snapshot
Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule
inferredcites →https://doi.org/10.22436/jmcs.022.01.04openalex-snapshot
A modified extra-gradient method for a family of strongly pseudomonotone equilibrium problems in real Hilbert spaces
inferredcites →https://doi.org/10.23952/asvao.4.2022.2.03openalex-snapshot
Revisiting projection and contraction algorithms for solving variational inequalities and applications
inferredcites →https://doi.org/10.23952/jano.4.2022.2.06openalex-snapshot
The Tseng’s extragradient method for semistrictly quasimonotone variational inequalities
inferredcites →https://doi.org/10.23952/jnfa.2022.9openalex-snapshot
A hybrid inertial parallel subgradient extragradient-line algorithm for variational inequalities with an application to image recovery
inferredcites →https://doi.org/10.23952/jnva.5.2021.4.09openalex-snapshot
Convergence analysis of an inertial Tseng’s extragradient algorithm for solving pseudomonotone variational inequalities and applications
inferredcites →https://doi.org/10.23952/jnva.6.2022.1.06openalex-snapshot
Accelerated inertial subgradient extragradient algorithms with non-monotonic step sizes for equilibrium problems and fixed point problems
inferredcites →https://doi.org/10.24193/fpt-ro.2020.1.07openalex-snapshot
A modified inertial subgradient extragradient method for solving pseudomonotone variational inequalities and common fixed point problems
inferredcites →https://doi.org/10.3390/axioms9030099openalex-snapshot
An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications
inferredcites →https://doi.org/10.3390/math10091612openalex-snapshot
Self-Adaptive Method and Inertial Modification for Solving the Split Feasibility Problem and Fixed-Point Problem of Quasi-Nonexpansive Mapping
inferredcites →https://doi.org/10.3390/math7090860openalex-snapshot
Inertial-Like Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive and Strictly Pseudocontractive Mappings
inferredcites →https://doi.org/10.3390/math7100925openalex-snapshot
On Mann Viscosity Subgradient Extragradient Algorithms for Fixed Point Problems of Finitely Many Strict Pseudocontractions and Variational Inequalities
inferredcites →https://doi.org/10.3390/math9243173openalex-snapshot
A General Class of Differential Hemivariational Inequalities Systems in Reflexive Banach Spaces
inferredcites →https://doi.org/10.3390/sym12081332openalex-snapshot
Convergence Analysis of Self-Adaptive Inertial Extra-Gradient Method for Solving a Family of Pseudomonotone Equilibrium Problems with Application
inferredcites →https://doi.org/10.3934/math.2021332openalex-snapshot
A new weak convergence non-monotonic self-adaptive iterative scheme for solving equilibrium problems
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On Nash stationary points

What points at this work

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

inferred← citeshttps://doi.org/10.1002/mma.70225openalex-snapshot
A Viscosity‐Type Tseng'S Extragradient Algorithm for Bilevel Split Hierarchical Variational Inequalities With Multiple Output Sets
inferred← citeshttps://doi.org/10.1007/978-3-032-07860-5_2openalex-snapshot
An Iterative Method for a Common Solution of Generalized Mixed Equilibrium Problem and Fixed Point Problem of Nonexpansive Semigroups
inferred← citeshttps://doi.org/10.1007/s00186-023-00846-9openalex-snapshot
Solving quasimonotone and non-monotone variational inequalities
inferred← citeshttps://doi.org/10.1007/s11075-026-02372-1openalex-snapshot
Four double inertial algorithms for variational inequalities with fixed point constraints: theory and signal processing applications
inferred← citeshttps://doi.org/10.1007/s11565-024-00545-1openalex-snapshot
An inertial extragradient algorithm for a common solution of generalized mixed equilibrium problem and fixed point problem of nonexpansive mappings
inferred← citeshttps://doi.org/10.1016/j.cam.2026.117504openalex-snapshot
A C-FISTA-type proximal point algorithm for strongly quasiconvex pseudomonotone equilibrium problems
inferred← citeshttps://doi.org/10.1016/j.cnsns.2025.108938openalex-snapshot
Strong convergence of inertial extragradient methods for solving pseudomonotone variational inequality problems
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A strongly convergent projection and contraction algorithm with extrapolations from the past
inferred← citeshttps://doi.org/10.1016/j.matcom.2026.10.006openalex-snapshot
Adaptive inertial-relaxed Tseng extragradient algorithms for non-monotone variational inequalities with applications to Nash equilibrium in oligopolistic market competition
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Solution of variational inequality problems using monotone mapping
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A self-adaptive iterative method for a split equality problem
inferred← citeshttps://doi.org/10.64721/7nbgk402openalex-snapshot
A Double Inertial Viscosity Method for Joint Split Variational Inclusion, Generalized Mixed Equilibrium and Fixed Point Problems
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