Open AccessStrong convergence algorithm for the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem
Author(s) -
Shamshad Husain,
Mohd Asad,
Mubashshir Uddin Khairoowala
Publication year - 2021
Publication title -
armenian journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1829-1163
DOI - 10.52737/18291163-2021.13.7-1-32
Subject(s) - convergence (economics) , mathematics , expansive , scheme (mathematics) , fixed point , element (criminal law) , mathematical optimization , iterative method , variational inequality , point (geometry) , mathematical analysis , geometry , materials science , compressive strength , political science , law , economics , composite material , economic growth
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.