Hybrid method for equilibrium problems and variational inclusions

Journal of inequalities and applications

article

Shahram Rezapour¹  Seyyed Hasan Zakeri⁴ 

[1] Institute of Research and Development, Duy Tan University;Faculty of Natural Sciences, Duy Tan University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Azarbaijan Shahid Madani University

关键词: Maximal monotone operator;    Nonexpansive map;    Variational inclusion;    Generalized equilibrium problem;    Inverse strongly monotone map;   

DOI  :  10.1186/s13660-020-02458-x

学科分类：电力

来源: SpringerOpen

【 摘 要 】

By providing a new iterative method our aim is finding a common element of the set of fixed points of two nonexpansive mappings, the set of solutions to a variational inclusion and the set of solutions of a generalized equilibrium problem in a real Hilbert space. We review the strong convergence of the new iterative method in the framework of Hilbert spaces. Finally, we show that our main result is a generalization for some known theorems in this field.

【 授权许可】

CC BY