Hybrid shrinking iterative solutions to convex feasibility problems and a system of generalized mixed equilibrium problems
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Authors
Youbing Xiong
- Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, P. R. China.
Abstract
The purpose of this paper is to propose a new hybrid shrinking iterative scheme for approximating
common elements of the set of solutions to convex feasibility problems for countable families of weak relatively
nonexpansive mappings of a set of solutions to a system of generalized mixed equilibrium problems. A strong
convergence theorem is established in the framework of Banach spaces. The results extend those of other
authors, in which the involved mappings consist of just finitely many ones.
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ISRP Style
Youbing Xiong, Hybrid shrinking iterative solutions to convex feasibility problems and a system of generalized mixed equilibrium problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4798--4813
AMA Style
Xiong Youbing, Hybrid shrinking iterative solutions to convex feasibility problems and a system of generalized mixed equilibrium problems. J. Nonlinear Sci. Appl. (2016); 9(6):4798--4813
Chicago/Turabian Style
Xiong, Youbing. "Hybrid shrinking iterative solutions to convex feasibility problems and a system of generalized mixed equilibrium problems." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4798--4813
Keywords
- Weak relatively nonexpansive mappings
- relatively nonexpansive mappings
- hybrid iteration scheme
- convex feasibility problems
- generalized mixed equilibrium problems.
MSC
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