TY - JOUR
ID - 13350
TI - Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Bedane, Dejene Shewakena
AU - Gebrie, Anteneh Getachew
AD - Department of Mathematics, College of Computational and Natural Science, Debre Berhan University, Debre Berhan, P.O. Box 445, Ethiopia.
Y1 - 2022
PY - 2022
VL - 10
IS - 3
SP - 639
EP - 655
KW - Common fixed point problem
KW - Equilibrium problem
KW - H¨older continuity
KW - Extragradient method
KW - Shrinking projection
DO - 10.22034/cmde.2021.44502.1879
N2 - Based on the extragradient-like method combined with shrinking projection, we propose two algorithms, the first algorithm is obtained using sequential computation of extragradient-like method and the second algorithm is obtained using parallel computation of extragradient-like method, to find a common point of the set of fixed points of a nonexpansive mapping and the solution set of the equilibrium problem of a bifunction given as a sum of the finite number of H ̈older continuous bifunctions. The convergence theorems for iterative sequences generated by the algorithms are established under widely used assumptions for the bifunction and its summands
UR - https://cmde.tabrizu.ac.ir/article_13350.html
L1 - https://cmde.tabrizu.ac.ir/article_13350_b0780822f1440699cff665f59754d6e8.pdf
ER -