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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

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  • J. F. Tan
  • S. S. Chang

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.

Suggested Citation

  • J. F. Tan & S. S. Chang, 2011. "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 Banac," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-16, June.
    • Handle: RePEc:hin:jijmms:106323
    DOI: 10.1155/2011/106323
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