Work

New strong convergence algorithms for general equilibrium and variational inequality problems and resolvent operators in Banach spaces

Year: 2026

Type: article

Abstract: In this paper, we introduce two new algorithms for solving variational inequalities in Banach spaces. Our aim is finding a common element of the solution set of variational inequalities (for two inverse-strongly monotone operators) and an equilibrium problem and the set of fixed points of two relatively nonexpansive mappings and a family of resolvent operators. Then the strong convergence of the sequences generated by these algorithms to this element will be proved under suitable conditions. Finally, we provide a numerical example to illustrate our main results.

Source: Nonlinear Analysis Modelling and Control

DOI: 10.15388/namc.2026.31.44410

Authors: Mostafa Ghadampour, Ebrahim Soori, Ravi P. Agarwal, Donal O’Regan

Institutions: Payame Noor University, Lorestan University, Florida Institute of Technology, National University of Ireland

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7118473763

FWCI: 3.69

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Cited by: 1

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