Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem

Kazmi, K.R. and Ali, R. and Furkan, M. (2018) Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem. Numerical Algorithms, 77 (1). pp. 289-308. ISSN 10171398

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Official URL: https://link.springer.com/article/10.1007%2Fs11075...

Abstract

In this paper, we suggest and analyze a Krasnoselski-Mann type iterative method to approximate a common element of solution sets of a hierarchical fixed point problem for nonexpansive mappings and a split mixed equilibrium problem. We prove that sequences generated by the proposed iterative method converge weakly to a common element of solution sets of these problems. Further, we derive some consequences from our main result. Furthermore, we extend the considered iterative method to a split monotone variational inclusion problem and deduce some consequences. Finally, we give a numerical example to justify the main result. The method and results presented in this paper generalize and unify the corresponding known results in this area. © 2017, Springer Science+Business Media New York.

Item Type: Article
Uncontrolled Keywords: Hierarchical fixed point problem; Krasnoselski-Mann type iterative method; Nonexpansive mapping; Split mixed equilibrium problem; Split monotone variational inclusion problem; Weak convergence
Subjects: Q Science > QA Mathematics
Divisions: Faculties > Faculty of Science > Department of Mathematics
Depositing User: AMU Library
Date Deposited: 19 Jan 2018 03:27
Last Modified: 19 Jan 2018 03:27
URI: http://ir.amu.ac.in/id/eprint/10812

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