Iterative approximation method for various nonlinear mappings and equilibrium problems with numerical example
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- 作者：Wongvisarut Khuangsatung ; Atid Kangtunyakarn
- 关键词：Nonspreading mapping ; Variational inequalities problem ; Equilibrium problem ; Fixed point problem
- 刊名：Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：111
- 期：1
- 页码：65-88
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics, general; Applications of Mathematics; Theoretical, Mathematical and Computational Physics;
- 出版者：Springer Milan
- ISSN：1579-1505
- 卷排序：111
文摘
In this paper, we prove strong convergence of a new iterative algorithm for finding a common element of the set of fixed points of a finite family of nonspreading mappings, the set of solutions of a finite family of equilibrium problems and the set of solutions of two variational inequality problems in a real Hilbert space. In the last section, we give the numerical example to support our result.