A new hybrid algorithm for a system of generalized mixed equilibrium problems and fixed point of quasi-\(\phi\)-asymptotically nonexpansive mappings

DOI10.5402/2011/595263zbMath1296.47108OpenAlexW2090227702WikidataQ58689851 ScholiaQ58689851MaRDI QIDQ642847

Jin-Hua Zhu, Shi Sheng Zhang

Publication date: 27 October 2011

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/595263

zbMATH Keywords

strong convergenceiterative methodcommon fixed pointsmooth Banach spacehybrid algorithmstrictly convex Banach spacegeneralized mixed equilibrium problemKadets-Klee propertyquasi-\(\phi\)-asymptotically nonexpansive mapping

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Modified block iterative algorithm for solving convex feasibility problems in Banach spaces
• Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
• Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
• A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces