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

被引：1
作者：
Promsinchai, Porntip [1 ,2 ]
Nimana, Nimit [3 ]
机构：
[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
[2] Naresuan Univ, Fac Sci, Ctr Excellence Nonlinear Anal & Optimizat, Phitsanulok 65000, Thailand
[3] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 05期
关键词：
convergence analysis; cutter; equilibrium problem; fixed point; monotone operator; STRONG-CONVERGENCE; PRINCIPLE; SCHEME;
D O I：
10.3390/sym14050992
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
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.
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页数：18
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