Work

An algorithm for nonlinear problems with variational inequality methods

Year: 2025

Type: article

Abstract: The purpose of this paper is to introduce a mapping in the framework of a 2-uniformly smooth and uniformly convex Banach space and obtain a common solution for the fixed point set of finite families of [Formula: see text]-enriched non-expansive mappings and ([Formula: see text],[Formula: see text])-enriched strictly pseudocontractive mappings. Two solution sets of variational inequality problems are also given. Moreover, we prove several strong convergence theorems for the fixed point set of the finite family of ([Formula: see text],[Formula: see text])-enriched strictly pseudocontractive mappings and the solution set of variational inequality problems. By using the famous Mann-Halpern type iterative method we obtain some strong convergence theorems. Our results from this paper improve and generalize many well-known results in the existing literature.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0329105

Authors: Huaping Huang, Imo Kalu Agwu, Umar Ishtiaq, Ibrahim Alraddadi, Kashif Saleem, Ioannis K. Argyros