Generalized mixed equilibrium problems and quasi- ϕ-asymptotically nonexpansive multivalued mappings in Banach spaces

Author:

Ali BashirORCID,Umar Lawal,Harbau M. H.

Abstract

Abstract In this paper, we introduce two iterative algorithms for finding a common element of the set of fixed points of a quasi- ϕ-asymptotically nonexpansive multivalued mapping and the sets of solutions of generalized mixed equilibrium problem in Banach space. Then, we prove strong and weak convergence of the sequences to element in the mentioned set. Our results generalize and improve recent results announced by many authors.

Publisher

Springer Science and Business Media LLC

Reference22 articles.

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5. Tada, A., Takahashi, W.: Strong convergence theorem for an equilibrium problem and a nonexpansive mapping. In: W. Takahashi, W. Tanaka, T. (Eds), Nonlinear analysis and convex analysis, pp. 609–617. Yokohama Publishers, Yokohama (2007).

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