Projection algorithms for treating asymptotically quasi-\(\phi \)-nonexpansive mappings in the intermediate sense

DOI10.1186/1029-242X-2013-265zbMath1364.47022WikidataQ59301396 ScholiaQ59301396MaRDI QIDQ2637515

Liu Aichao, Yuan Hecai

Publication date: 12 February 2014

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

zbMATH Keywords

fixed pointgeneralized projectionrelatively nonexpansive mappingasymptotically quasi-\(\phi \)-nonexpansive mapping in the intermediate sense

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Hybrid iterative algorithm for finite families of countable Bregman quasi-Lipschitz mappings with applications in Banach spaces ⋮ New hybrid shrinking projection algorithm for common fixed points of a family of countable quasi-Bregman strictly pseudocontractive mappings with equilibrium and variational inequality and optimization problems ⋮ A strong convergence theorem for Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense ⋮ A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense ⋮ Accelerated hybrid iterative algorithm for common fixed points of a finite families of countable Bregman quasi-Lipschitz mappings and solutions of generalized equilibrium problem with application

Cites Work

• Hybrid projection algorithms for treating common fixed points of a family of demicontinuous pseudocontractions
• Approximation theorems for total quasi-\(\phi \)-asymptotically nonexpansive mappings with applications
• On the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappings
• Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
• Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
• Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
• Iterative methods for generalized equilibrium problems and fixed point problems with applications
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• A strong convergence theorem for common fixed points of two relatively nonexpansive mappings and its applications
• An example concerning fixed points
• On hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappings
• Strong convergence theorems for relatively nonexpansive mappings in a Banach space
• Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
• Strong convergence of the CQ method for fixed point iteration processes
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Shrinking Projection Methods for a Pair of Asymptotically Quasi-φ-Nonexpansive Mappings
• Generalized Projection Algorithms for Nonlinear Operators
• Fixed points of nonexpanding maps

This page was built for publication: Projection algorithms for treating asymptotically quasi-\(\phi \)-nonexpansive mappings in the intermediate sense