Convergence analysis of hybrid projection with Cesàro mean method for the split equilibrium and general system of finite variational inequalities

DOI10.1016/j.cam.2015.10.006zbMath1382.47017OpenAlexW1766677897WikidataQ59306824 ScholiaQ59306824MaRDI QIDQ507945

Jitsupa Deepho, Kanokwan Sitthithakerngkiet, Poom Kumam, Juan Martínez Moreno

Publication date: 9 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.10.006

zbMATH Keywords

rate of convergencestrong convergenceCesàro meansgeneral system of variational inequalitiesfixed point problemsplit equilibrium problemreal Hilbert space

Mathematics Subject Classification ID

Variational inequalities (49J40) Numerical methods based on necessary conditions (49M05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items

Linesearch algorithms for split equilibrium problems and nonexpansive mappings ⋮ A modified iterative method for a finite collection of non-self mappings and a family of variational inequality problems ⋮ Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces ⋮ Adapting step size algorithms for solving split equilibrium problems with applications to signal recovery ⋮ Viscosity approximation method for split best proximity point and monotone variational inclusion problem ⋮ Unnamed Item ⋮ Two hybrid algorithms for solving split equilibrium problems ⋮ Projection methods for solving split equilibrium problems ⋮ A modified iterative method for split problem of variational inclusions and fixed point problems ⋮ On split inclusion problem and fixed point problem for multi-valued mappings ⋮ Iterative algorithms of common solutions for a hierarchical fixed point problem, a system of variational inequalities, and a split equilibrium problem in Hilbert spaces ⋮ PARALLEL EXTRAGRADIENT-PROXIMAL POINT METHODS FOR MULTIPLE SET SPLIT EQUILIBRIUM PROBLEMS OF PSEUDOMONOTONE MAPPINGS IN HILBERT SPACES ⋮ Variational inclusions involving generalized set-valued quasi-contractive mappings in Banach spaces ⋮ PARALLEL EXTRAGRADIENT-PROXIMAL METHODS FOR SPLIT EQUILIBRIUM PROBLEMS ⋮ Shrinking Cesàro means method for the split equilibrium and fixed point problems in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Split monotone variational inclusions
• Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
• On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
• A multiprojection algorithm using Bregman projections in a product space
• Strong convergence to common fixed points of families of nonexpansive mappings
• Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• Iteration methods for convexly constrained ill-posed problems in hilbert space
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• An Iteration Formula for Fredholm Integral Equations of the First Kind
• Strong convergence to common fixed points of infinite nonexpansive mappings and applications

This page was built for publication: Convergence analysis of hybrid projection with Cesàro mean method for the split equilibrium and general system of finite variational inequalities