On solving split best proximity point and equilibrium problems in Hilbert spaces

被引：0

作者：

Tiammee, Jukrapong ^{[1
]}

Suantai, Suthep ^{[1
]}

机构：

[1] Chiang Mai Rajabhat Univ, Fac Sci & Technol, Dept Math & Stat, Chiang Mai 50300, Thailand

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2019年 / 35卷 / 03期

关键词：

iterative algorithms; convergence; best proximity point; equilibrium problems; ALGORITHM; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a split best proximity point and equilibrium problem, and find a solution of the best proximity point problem such that its image under a given bounded linear operator is a solution of the equilibrium problem. We construct an iterative algorithm to solve such problem in real Hilbert spaces and obtain a weak convergence theorem. Finally, we also give an example to illustrate our result.

引用

页码：385 / 392

页数：8

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