A Subgradient-Type Extrapolation Cyclic Method for Solving an Equilibrium Problem over the Common Fixed-Point Sets

Symmetry

Nimit Nimana¹  Porntip Promsinchai² 

[1] Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand;Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand;

关键词: convergence analysis;    cutter;    equilibrium problem;    fixed point;    monotone operator;   

DOI  :  10.3390/sym14050992

来源: DOAJ

【 摘 要 】

In this paper, we consider the solving of an equilibrium problem over the common fixed set of cutter mappings in a real Hilbert space. To this end, we present a subgradient-type extrapolation cyclic method. The proposed method is generated based on the ideas of a subgradient method and an extrapolated cyclic cutter method. We prove a strong convergence of the method provided that some suitable assumptions of step-size sequences are assumed. We finally show the numerical behavior of the proposed method.

【 授权许可】

Unknown