Generalized mixed equilibrium problems and fixed point problem for a countable family of total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces
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Publication:411136
DOI10.1155/2012/961560zbMath1244.49025OpenAlexW2001235280WikidataQ58907013 ScholiaQ58907013MaRDI QIDQ411136
Min Liu, Jin-Hua Zhu, Shi Sheng Zhang
Publication date: 4 April 2012
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/961560
generalized mixed equilibrium problemsquasi-\(\phi\)-asymptotically nonexpansive mappingstrong convergence theoremsuniformly smooth and strictly convex Banach space with Kadec-Klee property
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Methods involving semicontinuity and convergence; relaxation (49J45)
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Cites Work
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- Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems
- 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
- Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems
- Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type
- Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems
- Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
- Modified block iterative algorithm for solving convex feasibility problems in Banach spaces
- Iterative methods for generalized equilibrium problems and fixed point problems with applications
- A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications
- Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
- Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings
- Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems
- Generalized mixed equilibrium problem in Banach spaces
- On hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
- 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 MODIFIED HYBRID ALGORITHM FOR QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
