TY - JOUR
ID - 123057
TI - Algorithm for computing a common solution of equilibrium and fixed point problems with set-valued demicontractive operators
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Sow, Thierno
AD - Gaston Berger university
Y1 - 2021
PY - 2021
VL - 7
IS - 1
SP - 131
EP - 139
KW - Explicit algorithm
KW - Set-valued operators
KW - Equilibrium problems
KW - Fixed points problems
DO - 10.22034/kjm.2020.208829.1623
N2 - 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.
UR - http://www.kjm-math.org/article_123057.html
L1 - http://www.kjm-math.org/article_123057_b74987ccaf250e3854a80de8a6e6cf02.pdf
ER -