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A new approximation method for finding common elements of equilibrium problems, variational inequality problems and fixed point problems of nonspreading mappings
Author(s)
Date Issued
October 1, 2017
Type
Article
Abstract
In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of the equilibrium problem, the set of solutions of the variational inequality problem and the set of fixed points of a nonspreading mapping in Hilbert spaces. Under suitable assumptions, weak convergence theorems have been proved in the framework of a Hilbert space. Our results improve and extend the corresponding results existing in the current literature. In addition, a numerical result indicate that the proposed method is quite effective.
Citation
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas, 111(4), 1105-1115, 2017