Loading...
Approximation of G-variational inequality problems and fixed-point problems of G-κ-strictly pseudocontractive mappings by an intermixed method endowed with a graph
Author(s)
Sripattanet, Anchalee
Date Issued
January 1, 2023
Type
Article
Abstract
In this paper, we first study G-κ-strictly pseudocontractive mappings and we establish a strong convergence theorem for finding the fixed points of two G-κ-strictly pseudocontractive mappings, two G-nonexpansive mappings, and two G-variational inequality problems in a Hilbert space endowed with a directed graph without the Property G. Moreover, we prove an interesting result involving the set of fixed points of a G-κ-strictly pseudocontractive and G-variational inequality problem and if Λ is a G-κ-strictly pseudocontractive mapping, then I− Λ is a G−(1−κ)2 -inverse strongly monotone mapping, shown in Lemma 3.3. In support of our main result, some examples are also presented.
Citation
Journal of Inequalities and Applications, 2023(1), 2023