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Title: | On split generalized mixed equilibrium and fixed point problems of an infinite family of quasi-nonexpansive multi-valued mappings in real Hilbert spaces |
Authors: | Akutsah, F Abass, H. A Mebawondu, A. A Narain, O. K |
Keywords: | Split generalized mixed equilibrium problem; asymptotically nonspreading multi-valued mappings; quasi-nonexpansive mapping; iterative scheme; fixed point problem |
Issue Date: | 6-Jul-2022 |
Publisher: | Asian-European Journal of Mathematics |
Citation: | F. Akutsah,§, H. A. Abass, A. A. Mebawondu. (2022). On split generalized mixed equilibrium and fixed point problems of an infinite family of quasi-nonexpansive multi-valued mappings in real Hilbert spaces. Asian-European Journal of Mathematics (2022) 2250082. World Scientific Publishing Company |
Abstract: | In this paper, we study split generalized mixed equilibrium problem and fixed point problem in real Hilbert spaces with a view to analyze an iterative method for approximating a common solution of split generalized mixed equilibrium problem and fixed point problem of an infinite family of a quasi-nonexpansive multi-valued mappings. The iterative algorithm introduced in this paper is designed in such a way that it does not require the knowledge of the operator norm. We state and prove a strong convergence result of the aforementioned problems and also give application of our main result to split variational inequality problem. Our result complements and extends some related results in literature. |
URI: | http://localhost:8080/xmlui/handle/123456789/312 |
Appears in Collections: | Mathematics |
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