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- Title
Iterative methods for vector equilibrium and fixed point problems in Hilbert spaces.
- Authors
Wang, San-hua; Zhang, Yu-xin; Huang, Wen-jun
- Abstract
In this paper, algorithms for finding common solutions of strong vector equilibrium and fixed point problems of multivalued mappings are considered. First, a Minty vector equilibrium problem is introduced and the relationship between the Minty vector equilibrium problem and the strong equilibrium problem is discussed. Then, by applying the Minty vector equilibrium problem, projection iterative methods are proposed and some convergence results are established in Hilbert spaces. The main results obtained in this paper develop and improve some recent works in this field.
- Subjects
HILBERT space; SET-valued maps; EQUILIBRIUM
- Publication
Journal of Inequalities & Applications, 2022, Vol 2022, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-022-02868-z