Strong convergence algorithm for the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem

Shamshad Husain; Mohd Asad; Mubashshir Khairoowala

doi:10.52737/18291163-2021.13.7-1-32

Authors

Shamshad Husain Aligarh Muslim University
Mohd Asad Aligarh Muslim University
Mubashshir Khairoowala Aligarh Muslim University

DOI:

https://doi.org/10.52737/18291163-2021.13.7-1-32

Keywords:

Non expansive mapping, Split feasibility problem, Averaged mapping, Split variational inclusion problem, Split generalized equilibrium problem, Fixed point problem

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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