A hybrid iterative scheme for variational inequality problems for finite families of relatively weak quasi-nonexpansive mappings

DOI10.1155/2010/724851zbMath1184.49013OpenAlexW1984451709WikidataQ59250189 ScholiaQ59250189MaRDI QIDQ962518

Uthai Kamraksa, Rabian Wangkeeree

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224303

Mathematics Subject Classification ID

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

Related Items

Convergence theorems of shrinking projection methods for equilibrium problem, variational inequality problem and a finite family of relatively quasi-nonexpansive mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
• On the strong convergence of the implicit iterative processes for a finite family of relatively weak quasi-nonexpansive mappings
• Regularization of nonlinear ill-posed variational inequalities and convergence rates
• Sharp uniform convexity and smoothness inequalities for trace norms
• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
• Strong convergence theorems for relatively nonexpansive mappings in a Banach space
• Weak convergence of a projection algorithm for variational inequalities in a Banach space
• Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space
• Construction of fixed points of nonlinear mappings in Hilbert space
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• 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
• An Introduction to Variational Inequalities and Their Applications
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Fixed points of nonexpanding maps
• On the Maximality of Sums of Nonlinear Monotone Operators

This page was built for publication: A hybrid iterative scheme for variational inequality problems for finite families of relatively weak quasi-nonexpansive mappings