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, issue 1

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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https://doi.org/10.1155/2012/516897

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:516897

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