Convergence analysis of new construction explicit methods for solving equilibrium programming and fixed point problems

DOI10.1155/2022/1934975zbMath1496.90102OpenAlexW4282547851MaRDI QIDQ2158407

Chainarong Khunpanuk, Nuttapol Pakkaranang, Bancha Panyanak

Publication date: 26 July 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/1934975

zbMATH Keywords

proximal-like mapping, weak convergence,

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)

Cites Work

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• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• The subgradient extragradient method for solving variational inequalities in Hilbert space
• Application of the proximal point method to nonmonotone equilibrium problems
• Dual extragradient algorithms extended to equilibrium problems
• Equilibrium models and variational inequalities.
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Equilibrium programming using proximal-like algorithms
• An inertial-like proximal algorithm for equilibrium problems
• Inertial projection and contraction algorithms for variational inequalities
• Weak convergence of explicit extragradient algorithms for solving equilibrium problems
• The inertial iterative extragradient methods for solving pseudomonotone equilibrium programming in Hilbert spaces
• The extragradient algorithm with inertial effects extended to equilibrium problems
• The iterative methods for solving pseudomontone equilibrium problems
• The subgradient extragradient method extended to pseudomonotone equilibrium problems and fixed point problems in Hilbert space
• Existence and solution methods for equilibria
• Inertial extragradient algorithms for solving equilibrium problems
• Construction of fixed points of nonlinear mappings in Hilbert space
• Generalized monotone bifunctions and equilibrium problems
• Non-cooperative games
• On the proximal point method for equilibrium problems in Hilbert spaces
• Convergence of an adaptive penalty scheme for finding constrained equilibria
• A New Projection Method for Variational Inequality Problems
• Modified extragradient algorithms for solving equilibrium problems
• A new Popov's subgradient extragradient method for two classes of equilibrium programming in a real Hilbert space
• New extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spaces
• The subgradient extragradient method for pseudomonotone equilibrium problems
• Extragradient algorithms extended to equilibrium problems¶
• Some methods of speeding up the convergence of iteration methods
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Equilibrium points in n -person games
• Existence of an Equilibrium for a Competitive Economy
• Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems
• Convex analysis and monotone operator theory in Hilbert spaces
• An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping

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