A self-adaptive parallel subgradient extragradient method for finite family of pseudomonotone equilibrium and fixed point problems

DOI10.1007/s40314-022-01817-2zbMath1499.90247OpenAlexW4220993823MaRDI QIDQ2125900

Lateef Olakunle Jolaoso, Maggie Aphane

Publication date: 14 April 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01817-2

zbMATH Keywords

Hilbert spacesequilibrium problempseudomonotonefinite familysubgradient extragradient methodself-adaptive process

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

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• Krasnoselskii-type algorithm for family of multi-valued strictly pseudo-contractive mappings
• Parallel hybrid iterative methods for variational inequalities, equilibrium problems, and common fixed point problems
• Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
• Common solutions to variational inequalities
• Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23--July 2, 2000
• Nonlinear programming techniques for equilibria
• A hybrid extragradient method for pseudomonotone equilibrium problems and fixed point problems
• Viscosity approximation methods for fixed-points problems
• Weak and strong convergence Bregman extragradient schemes for solving pseudo-monotone and non-Lipschitz variational inequalities
• Convergence analysis for variational inequalities and fixed point problems in reflexive Banach spaces
• A general alternative regularization method with line search technique for solving split equilibrium and fixed point problems in Hilbert spaces
• A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
• Parallel modified methods for pseudomonotone equilibrium problems and fixed point problems for quasi-nonexpansive mappings
• A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
• The subgradient extragradient method extended to pseudomonotone equilibrium problems and fixed point problems in Hilbert space
• Modified extragradient method for pseudomonotone variational inequalities in infinite dimensional Hilbert spaces
• An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
• Descent and penalization techniques for equilibrium problems with nonlinear constraints
• New subgradient extragradient methods for common solutions to equilibrium problems
• Common solutions to pseudomonotone equilibrium problems
• Halpern subgradient extragradient method extended to equilibrium problems
• A parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems
• A new iterative algorithm for the variational inequality problem over the fixed point set of a firmly nonexpansive mapping
• Iterative Algorithms for Nonlinear Operators
• A Use of Conjugate Gradient Direction for the Convex Optimization Problem over the Fixed Point Set of a Nonexpansive Mapping
• Convergence of an adaptive penalty scheme for finding constrained equilibria
• Parallel Algorithms for Solving a Class of Variational Inequalities over the Common Fixed Points Set of a Finite Family of Demicontractive Mappings
• The subgradient extragradient method extended to equilibrium problems
• Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space
• New subgradient extragradient methods for solving monotone bilevel equilibrium problems
• Proximal type algorithms involving linesearch and inertial technique for split variational inclusion problem in hilbert spaces with applications
• Extragradient algorithms extended to equilibrium problems¶
• Single Bregman projection method for solving variational inequalities in reflexive Banach spaces

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