The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2015
- Doi Number: 10.1186/s13660-015-0567-x
- Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
The present paper aims to deal with a new iterative method to find a common solution of a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem for a sequence of nearly nonexpansive mappings. It is proved that the proposed method converges strongly to a common solution of above problems under some assumptions. The results here improve and extend some recent corresponding results by many other authors.