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The variational inequality problem in Hilbert spaces endowed with graphs
Author(s)
Date Issued
March 1, 2020
Type
Article
Abstract
In this paper, using the concept of graph theory, we introduce the concept of G-variational inequality problems which is different from general variational inequality problems in a Hilbert space and use the new techniques to prove convergence theory to solve such problem and fixed point problem of G-nonexpansive mapping in a Hilbert spaces endowed with graphs. We also provide numerical examples to support our main results.
Citation
Journal of Fixed Point Theory and Applications, 22(1), 2020