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

Authors

Department of Mathematical Sciences, Bayero University, Kano, Nigeria

https://doi.org/10.1186/s42787-019-0046-5

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.

Keywords

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1
2019
Pages 1-16

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