A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi- 𠜙 -Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space
J. F. Tan and
S. S. Chang
International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-16
Abstract:
The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi- 𠜙 -asymptotically nonexpansive mappings, and null spaces of finite family of 𠛾 -inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors.
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:106323
DOI: 10.1155/2011/106323
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