Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems

Bedane, Dejene Shewakena; Gebrie, Anteneh Getachew

doi:10.22034/cmde.2021.44502.1879

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	Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems
Computational Methods for Differential Equations
مقاله 6، دوره 10، شماره 3، مهر 2022، صفحه 639-655 اصل مقاله (361.37 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.44502.1879
نویسندگان
Dejene Shewakena Bedane؛ Anteneh Getachew Gebrie^*
Department of Mathematics, College of Computational and Natural Science, Debre Berhan University, Debre Berhan, P.O. Box 445, Ethiopia.
چکیده
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
کلیدواژه‌ها
Common fixed point problem؛ Equilibrium problem؛ H¨older continuity؛ Extragradient method؛ Shrinking projection

مراجع
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Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems