Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems
Publish Year: 1401
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-10-3_006
Index date: 29 January 2023
Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems 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
Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems Keywords:
Common fixed point problem , Equilibrium problem , H¨older continuity , Extragradient method , Shrinking projection
Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems authors
Dejene Shewakena Bedane
Department of Mathematics, College of Computational and Natural Science, Debre Berhan University, Debre Berhan, P.O. Box ۴۴۵, Ethiopia.
Anteneh Getachew Gebrie
Department of Mathematics, College of Computational and Natural Science, Debre Berhan University, Debre Berhan, P.O. Box ۴۴۵, Ethiopia.
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