Convergence theorems by hybrid method for systems of equilibrium problems and fixed point problem

DOI10.1016/j.mcm.2011.04.038zbMath1235.65058OpenAlexW1999643551MaRDI QIDQ409831

Yekini Shehu

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.04.038

zbMATH Keywords

Banach spacesequilibrium problemshybrid methodgeneralized f-projection operatorrelatively quasi nonexpansive mappings

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications
• Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
• Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces
• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
• Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
• Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Iterative solutions of nonlinear equations in smooth banach spaces
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• The generalised f-projection operator with an application

This page was built for publication: Convergence theorems by hybrid method for systems of equilibrium problems and fixed point problem