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

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Bedane Dejene Shewakena; Gebrie Anteneh Getachew

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Journal Paper

Paper Information

Journal: COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Year:2022 | Volume:10 | Issue:3 Page(s): 639-655

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Title

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

Author(s)

Bedane Dejene Shewakena | Gebrie Anteneh Getachew | Issue Writer Certificate

Keywords

Common fixed point problem

Equilibrium problem

Holder continuity

Extragradient method

Shrinking projection

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.

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APA: Copy

Bedane, Dejene Shewakena, & Gebrie, Anteneh Getachew. (2022). Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 10(3), 639-655. SID. https://sid.ir/paper/1057206/en

Vancouver: Copy

Bedane Dejene Shewakena, Gebrie Anteneh Getachew. Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2022;10(3):639-655. Available from: https://sid.ir/paper/1057206/en

IEEE: Copy

Dejene Shewakena Bedane, and Anteneh Getachew Gebrie, “Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 10, no. 3, pp. 639–655, 2022, [Online]. Available: https://sid.ir/paper/1057206/en

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