%0 Journal Article
%T Algorithm for computing a common solution of equilibrium and fixed point problems with set-valued demicontractive operators
%J Khayyam Journal of Mathematics
%I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
%Z 2423-4788
%A Sow, Thierno
%D 2021
%\ 01/01/2021
%V 7
%N 1
%P 131-139
%! Algorithm for computing a common solution of equilibrium and fixed point problems with set-valued demicontractive operators
%K Explicit algorithm
%K Set-valued operators
%K Equilibrium problems
%K Fixed points problems
%R 10.22034/kjm.2020.208829.1623
%X In this paper, we introduce an iterative algorithm based on the well-known Krasnoselskii-Mann's method for finding a common element of the set of fixed points of multivalued demicontractive mapping and the set of solutions of an equilibrium problem in a real Hilbert space. Then, strong convergence of the scheme to a common element of the two sets is proved without imposing any compactness condition on the mapping or the space. We further applied our results to solve some optimization problems. Our results improve many recent results using Krasnoselskii-Mann's algorithm for solving nonlinear problems.
%U http://www.kjm-math.org/article_123057_b74987ccaf250e3854a80de8a6e6cf02.pdf