Strong Convergence of a Hybrid Iteration Scheme for Equilibrium Problems, Variational Inequality Problems and Common Fixed Point Problems, of Quasi- ϕ -Asymptotically Nonexpansive Mappings in Banach Spaces

Jing Zhao

Journal of Applied Mathematics, 2012, vol. 2012, 1-19

Abstract:

We introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed quasi- ϕ -asymptotically nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the variational inequality problem for a γ -inverse strongly monotone mapping in Banach spaces. Then we study the strong convergence of the algorithm. Our results improve and extend the corresponding results announced by many others.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:516897

DOI: 10.1155/2012/516897

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