Armenian Journal of Mathematics, 13(7)
2021; 1–32
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Strong convergence algorithm for the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem

Shamshad Husain*, Mohd Asad, Mubashshir Khairoowala

Received: 2024-12-07 · Published: 2021-11-03

© 2021 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Strong convergence algorithm for the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem
Authors
Shamshad Husain, Mohd Asad, Mubashshir Khairoowala
Source journal
Armenian Journal of Mathematics, 13(7)
Published
2021-11-03
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2021.13.7-1-32

Abstract

The purpose of this paper is to recommend an iterative scheme to approximate a common element of the solution sets of the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem for non-expansive mappings. We prove that the sequences generated by the recommended iterative scheme strongly converge to a common element of solution sets of stated split problems. In the end, we provide a numerical example to support and justify our main result. The result studied in this paper generalizes and extends some widely recognized results in this direction.
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