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

Journal of the Egyptian Mathematical Society - Tập 27 - Trang 1-16 - 2019
Bashir Ali1, Lawal Umar2,3, M. H. Harbau4
1Department of Mathematical Sciences, Bayero University, Kano, Nigeria
2Department of Mathematics, Federal College of Education, Kaduna, Nigeria
3Department of Mathematics, Ahmadu Bello University, Kaduna, Nigeria
4Department of Science and Technology Education, Bayero University, Kano, Nigeria

Tóm tắt

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.

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Journal of the Egyptian Mathematical Society

Tập 27

1-16

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