Convergence Analysis of Iterative Schemes for Variational Inequalities with Demi-Contractive and Quasi-Nonexpansive Mappings in Hilbert Space

Abstract

This study investigates the convergence properties of iterative algorithms designed for addressing variational inequalities that involve demi-contractive and quasi-nonexpansive mappings within Hilbert spaces. By imposing appropriate conditions, we demonstrate the strong convergence of the developed iterative process to the unique solution of the respective variational inequality. The findings contribute novel perspectives on the convergence dynamics of iterative techniques when applied to nonlinear mathematical problems.