@article {
author = {Bedane, Dejene Shewakena and Gebrie, Anteneh Getachew},
title = {Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems},
journal = {Computational Methods for Differential Equations},
volume = {10},
number = {3},
pages = {639-655},
year = {2022},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {10.22034/cmde.2021.44502.1879},
abstract = {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},
keywords = {Common fixed point problem,Equilibrium problem,H¨older continuity,Extragradient method,Shrinking projection},
url = {https://cmde.tabrizu.ac.ir/article_13350.html},
eprint = {https://cmde.tabrizu.ac.ir/article_13350_b0780822f1440699cff665f59754d6e8.pdf}
}