Strong convergence theorems for solutions of equilibrium problems and common fixed points of a finite family of asymptotically nonextensive nonself mappings

DOI10.1155/2014/494632zbMath1473.47049OpenAlexW2144341251WikidataQ59038757 ScholiaQ59038757MaRDI QIDQ1724243

Lijuan Zhang, Ying Liu, Hui Tong

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/494632

zbMATH Keywords

iterative algorithmstrong convergencecommon fixed pointsuniformly smooth Banach spaceasymptotically nonextensive mappings

Mathematics Subject Classification ID

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

Cites Work

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• Convergence theorems for common fixed points of nonself asymptotically nonextensive mappings
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Weak and strong convergence theorems of three step iteration process with errors for nonself-asymptotically nonexpansive mappings
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
• Generalized projection and approximation of fixed points of nonself maps
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• Inequalities in Banach spaces with applications
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications

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