학술논문
A new mapping for finding a common solution of split generalized equilibrium problem, variational inequality problem and fixed point problem
Document Type
Article
Author
Source
한국수학논문집, 27(2), pp.297-327 Jun, 2019
Subject
Language
English
ISSN
2288-1433
1976-8605
1976-8605
Abstract
In this paper, we introduce and study a general iterative algorithm to approximate a common solution of split generalized equilibrium problem, variational inequality problem and fixed point problem for a finite family of nonexpansive mappings in real Hilbert spaces. Further, we prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Finally, we derive some consequences from our main result. The results presented in this paper extended and unify many of the previously known results in this area.