On Solving the Equilibrium Problem and Fixed Point Problem for Nonspreading Mappings and Lipschitzian Mappings in Hilbert Spaces

被引:0
作者
Suwannaut, Sarawut [1 ]
机构
[1] Lampang Rajabhat Univ, Fac Sci, Dept Math, Lampang, Thailand
来源
THAI JOURNAL OF MATHEMATICS | 2019年 / 17卷
关键词
nonspreading mapping; Lipschitzian mapping; S-mapping; equilibrium problem; THEOREMS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this research is to introduce and study the S-mapping generated by a finite family of nonspreading mappings and Lipschitzian mapping in a Hilbert space. Then, we prove a strong convergence theorem for finding a common element of the set of fixed points of a finite family of nonspreading mappings and Lipschitzian mappings and a common solution of a finite family of equilibrium problems. Futhermore, applying our main theorem, the additional results for equilibrium problem are obtained.
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页码:103 / 127
页数:25
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