A new hybrid projection algorithm for system of equilibrium problems and variational inequality problems and two finite families of quasi-\(\phi\)-nonexpansive mappings

DOI10.1155/2013/107296zbMath1263.49007OpenAlexW2092248488WikidataQ58915291 ScholiaQ58915291MaRDI QIDQ1949428

Pongrus Phuangphoo, Poom Kumam

Publication date: 8 May 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/107296

zbMATH Keywords

variational inequalitiesequilibrium problemshybrid projection algorithmquasi-\(\phi\)-nonexpansive mappingsmodified Mann's iterative procedure

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

New hybrid projection methods for variational inequalities involving pseudomonotone mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems
• Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces
• Nonlinear analysis and variational problems. In Honor of George Isac
• Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
• A partial complement method for approximating solutions of a primal dual fixed-point problem
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
• Inequalities in Banach spaces with applications
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Mean Value Methods in Iteration