Open AccessSolving Equilibrium Problem and Fixed Point Problem by Normal S-iteration Process in Hilbert Space
Author(s) -
Shamshad Husain,
Mohd Asad
Publication year - 2022
Publication title -
european journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2733-3957
DOI - 10.28924/ada/ma.2.6
Subject(s) - hilbert space , fixed point , mathematics , expansive , set (abstract data type) , space (punctuation) , fixed point iteration , work (physics) , point (geometry) , process (computing) , mathematical optimization , mathematical analysis , computer science , geometry , mechanical engineering , materials science , compressive strength , engineering , composite material , programming language , operating system
The main purpose of this paper is to find a common element in the solution set of equilibrium problem and fixed point problem of non-expansive mappings in the real Hilbert space with the help of normal S-iteration process. Also, under some acceptable assumptions, we prove the sequences induced by above stated process converge weakly to a point in the solution set of above stated problems. At the end, we give a numerical example to justify our work. The results studied in this work philosophize and boost some contemporary and known results in this direction.