Convergence analysis of a monotone projection algorithm in reflexive Banach spaces

From MaRDI portal
Publication:681017

DOI10.1016/S0252-9602(17)30016-4zbMath1389.47163MaRDI QIDQ681017

Sun Young Cho, Xiaolong Qin

Publication date: 29 January 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)




Related Items

Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration processStrong convergent inertial Tseng’s extragradient method for solving non-Lipschitz quasimonotone variational inequalities in Banach spacesOn variational-hemivariational inequalities with nonconvex constraintsA cyclic method for solutions of a class of split variational inequality problem in Banach spaceWeak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spacesComposite relaxed extragradient method for triple hierarchical variational inequalities with constraints of systems of variational inequalitiesDemiclosed principals and convergence theorems for asymptotically pseudocontractive nonself-mappings in intermediate senseFixed point results for generalized contractive multivalued mapsThe split variational inequality problem and its algorithm iterationStrong-weak convergence of two algorithms for total asymptotically nonexpansive mappingsAn affirmative answer to Panyanak and Suantai's open question on the viscosity approximation methods for a nonexpansive multi-valued mapping in CAT(0) spacesHybrid projection algorithms for finite total asymptotically strict quasi-phi-pseudo-contractionsA composite iterative algorithm for accretive and nonexpansive operatorsSystems of variational inequalities with hierarchical variational inequality constraints in Banach spacesOn nonexpansive and accretive operators in Banach spacesA regularization algorithm for a splitting feasibility problem in Hilbert spacesWeak convergence of an iterative algorithm for accretive operatorsConvergence analysis of a Halpern-like iterative algorithm in Hilbert spacesViscosity approximation methods for the multiple-set split equality common fixed-point problems of demicontractive mappingsConvergence and some control conditions of hybrid steepest-descent methods for systems of variational inequalities and hierarchical variational inequalitiesHybrid Projection Algorithm for Two Finite Families of Asymptotically Quasiϕ-Nonexpansive Mappings in Reflexive Banach SpacesShrinking projection method for solving zero point and fixed point problems in Banach spacesModified Halpern's iteration for fixed point theory of a finite family of \(G\)-nonexpansive mappings endowed with graphUnnamed ItemViscosity approximation of solutions of a split feasibility problem in Hilbert spacesViscosity regularization iterative methods and convergence analysisThe split feasibility problems in an infinite dimensional spaceOn the generalized Bregman projection operator in reflexive Banach spacesStrong convergence of viscosity iterations with error terms for cosine families in Banach spacesAlgorithms for a system of generalized mixed equilibrium problems and a countable family of some nonlinear multi-valued nonexpansive-type mapsParallel hybrid viscosity method for fixed point problems, variational inequality problems and split generalized equilibrium problemsComposite extragradient implicit rule for solving a hierarchical variational inequality with constraints of variational inclusion and fixed point problemsHybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappingsA new hybrid projection algorithm for equilibrium problems and asymptotically quasi \(\phi \)-nonexpansive mappings in Banach spacesApproximation of common fixed points of asymptotically nonexpansive cosine family based on modified Ishikawa iterationsUnnamed Item