Three Strong Convergence Theorems Regarding Iterative Methods for Solving Equilibrium Problems in Reflexive Banach Spaces
From MaRDI portal
Publication:2906492
DOI10.1090/conm/568/11285zbMath1293.47065OpenAlexW4250776562MaRDI QIDQ2906492
Publication date: 5 September 2012
Published in: Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/conm/568/11285
Convex programming (90C25) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Equilibrium problems under relaxed \(\alpha\)-monotonicity on Hadamard manifolds ⋮ Parallel iterative methods for solving systems of generalized mixed equilibrium problems in reflexive Banach spaces ⋮ A splitting algorithm for finding fixed points of nonexpansive mappings and solving equilibrium problems ⋮ Strong convergence theorems for equilibrium problems and fixed point problems in Banach spaces ⋮ A hybrid extragradient method for solving pseudomonotone equilibrium problems using Bregman distance ⋮ Generalized equilibrium and fixed point problems for Bregman relatively nonexpansive mappings in Banach spaces ⋮ A common solution of f-fixed point and variational inequality problems in Banach spaces ⋮ A strong convergence theorem for a general split equality problem with applications to optimization and equilibrium problem ⋮ The modified split generalized equilibrium problem for quasi-nonexpansive mappings and applications ⋮ Strong convergence theorems for Bregman quasi-strict pseudo-contractions in reflexive Banach spaces with applications ⋮ Strong convergence theorem for quasi-Bregman strictly pseudocontractive mappings and equilibrium problems in Banach spaces ⋮ An iterative algorithm for system of generalized equilibrium problems and fixed point problem ⋮ An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping ⋮ The projection and contraction methods for finding common solutions to variational inequality problems ⋮ Takahashi's minimization theorem and some related results in quasi-metric spaces ⋮ A convergence theorem for solving generalized mixed equilibrium problems and finding fixed points of a weak Bregman relatively nonexpansive mappings in Banach spaces ⋮ The subgradient extragradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces ⋮ Reflected iterative method for non-monotone equilibrium problems with applications to Nash-Cournot equilibrium models ⋮ A new algorithm for finding fixed points of Bregman asymptotically regular quasi-nonexpansive mapping and solutions of equilibrium problems ⋮ A strong convergence theorem for quasi-equilibrium problems in Banach spaces ⋮ On solving the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings ⋮ A common solution of generalized equilibrium, zeros of monotone mapping and fixed point problems ⋮ Retraction algorithms for solving variational inequalities, pseudomonotone equilibrium problems, and fixed-point problems in Banach spaces ⋮ A strong convergence theorem for finding a common fixed point of a finite family of Bregman nonexpansive mappings in Banach spaces which solves a generalized mixed equilibrium problem ⋮ Solving common nonmonotone equilibrium problems using an inertial parallel hybrid algorithm with Armijo line search with applications to image recovery ⋮ A parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems ⋮ Solving the multiple-set split feasibility problem and the equilibrium problem by a new relaxed CQ algorithm ⋮ Strong convergence of a selection of ishikawa-reich-sabach-type algorithm ⋮ Approximation of a common element of the fixed point sets of multivalued strictly pseudocontractive-type mappings and the set of solutions of an equilibrium problem in Hilbert spaces ⋮ A hybrid iterative method for a combination of equilibria problem, a combination of variational inequality problems and a hierarchical fixed point problem ⋮ Hybrid iterative method for systems of generalized equilibria with constraints of variational inclusion and fixed point problems ⋮ An algorithm to solve equilibrium problems and fixed points problems involving a finite family of multivalued strictly pseudo-contractive mappings ⋮ Two Bregman projection methods for solving variational inequalities ⋮ Halpern subgradient extragradient method extended to equilibrium problems ⋮ New algorithms for approximating zeros of inverse strongly monotone maps and \(J\)-fixed points ⋮ A new convergence analysis and perturbation resilience of some accelerated proximal forward–backward algorithms with errors ⋮ On split generalised mixed equilibrium problems and fixed-point problems with no prior knowledge of operator norm ⋮ A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods ⋮ Inertial algorithms for a system of equilibrium problems and fixed point problems ⋮ Modified inertial subgradient extragradient method for equilibrium problems ⋮ Two new algorithms to solve the system of generalized mixed equilibrium and fixed point problems in Banach spaces ⋮ Semicontinuity of bifunctions and applications to regularization methods for equilibrium problems ⋮ A strongly convergent algorithm for solving multiple set split equality equilibrium and fixed point problems in Banach spaces ⋮ Unnamed Item ⋮ An inertial iterative algorithm for approximating common solutions to split equalities of some nonlinear optimization problems ⋮ Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems ⋮ Fast and simple Bregman projection methods for solving variational inequalities and related problems in Banach spaces ⋮ An inertial type iterative method with Armijo linesearch for nonmonotone equilibrium problems ⋮ New extragradient methods for solving equilibrium problems in Banach spaces ⋮ On computability and applicability of Mann-Reich-Sabach-type algorithms for approximating the solutions of equilibrium problems in Hilbert spaces ⋮ An iterative method for a common solution of split generalized equilibrium problems and fixed points of a finite family of nonexpansive mapping ⋮ The general split equality problem for Bregman quasi-nonexpansive mappings in Banach spaces ⋮ A strong convergence theorem for split mixed equilibrium and fixed point problems for nonexpansive mappings ⋮ A viscosity extragradient method for an equilibrium problem and fixed point problem in Hilbert space ⋮ A splitting algorithm for equilibrium problem given by the difference of two bifunctions ⋮ An extragradient-type method for solving nonmonotone quasi-equilibrium problems ⋮ An iterative method for common solutions of equilibrium problems and hierarchical fixed point problems ⋮ An approximation theorem and generic convergence for equilibrium problems ⋮ Auxiliary principle technique and iterative algorithm for a perturbed system of generalized multi-valued mixed quasi-equilibrium-like problems ⋮ Parallel iterative methods for a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces ⋮ Unnamed Item ⋮ Strong convergence theorem for fixed points of relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces ⋮ A general iterative scheme based on regularization for solving equilibrium and constrained convex minimization problems ⋮ A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces ⋮ Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization ⋮ Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces ⋮ Auxiliary principle technique for hierarchical equilibrium problems ⋮ Equilibrium programming and new iterative methods in Hilbert spaces ⋮ An algorithm for finding a common point of the solutions of fixed point and variational inequality problems in Banach spaces ⋮ Inertial-viscosity-type algorithms for solving generalized equilibrium and fixed point problems in Hilbert spaces ⋮ The subgradient extragradient method for pseudomonotone equilibrium problems ⋮ Unnamed Item ⋮ A strong convergence theorem for Bregman quasi-noexpansive mappings with applications ⋮ A new extragradient algorithm for split equilibrium problems and fixed point problems ⋮ On split equality for finite family of generalized mixed equilibrum problem and fixed point problem in real Banach spaces ⋮ Hybrid method for equilibrium problems and variational inclusions ⋮ A PARALLEL ITERATIVE METHOD FOR A FINITE FAMILY OF BREGMAN STRONGLY NONEXPANSIVE MAPPINGS IN REFLEXIVE BANACH SPACES ⋮ On the rate of convergence of iterated Bregman projections and of the alternating algorithm ⋮ A strong convergence theorem for approximation of a zero of the sum of two maximal monotone mappings in Banach spaces ⋮ An Iterative Method for a Common Solution of a Combination of the Split Equilibrium Problem, a Finite Family of Nonexpansive Mapping and a Combination of Variational Inequality Problem
