Hybrid iterative method for split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive mappings

Kazmi, K.R. and Ali, R. and Furkan, M. (2017) Hybrid iterative method for split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive mappings. Numerical Algorithms. pp. 1-29. ISSN 10171398

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

Abstract

In this paper, we propose a hybrid iterative method to approximate a common solution of split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive mappings in real Hilbert spaces. We prove that sequences generated by the proposed hybrid iterative method converge strongly to a common solution of these problems. Further, we discuss some applications of the main result. We also discuss a numerical example to demonstrate the applicability of the iterative method. The method and results presented in this paper extend and unify the corresponding known results in this area.

Item Type: Article
Uncontrolled Keywords: Hierarchical fixed point problem; Hybrid iterative method; Maximal monotone operators; Nonexpansive mapping; Split monotone variational inclusion problem; Strong convergence
Subjects: Q Science > QA Mathematics
Divisions: Faculties > Faculty of Science > Department of Mathematics
Depositing User: AMU Library
Date Deposited: 30 Jan 2018 06:49
Last Modified: 31 Jan 2018 06:27
URI: http://ir.amu.ac.in/id/eprint/11040

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