Rehan Ali

Hybrid Projection Method for Common Solutions to Generalized Mixed Equilibrium Problems

In this paper, we develop modified inertial hybrid projection methods to obtain common solutions of generalized mixed equilibrium problems involving monotone and Lipschitz continuous operators. The use of alternative half-space constructions reduces both projection steps and operator evaluations. Strong convergence is...

Development of Viscosity Iterative Techniques for Split Variational-like Inequalities and Fixed Points Related to Pseudo-Contractions

A Two-Step Inertial Bregman-Tseng Method for Non-Monotone Variational Inequality Problems in Reflexive Banach Spaces

In this paper, we introduce a novel two-step inertial Bregman--Tseng algorithm for solving non-monotone variational inequality problems in reflexive Banach spaces. The proposed method combines a two-step inertial extrapolation scheme with a Bregman forward-backward-forward (Tseng-type) framework, leading to a computati...

A Unified Iterative Algorithm for Variational-like Inequalities and Fixed Point Problems in Banach Space with Applications to Image Denoising

This paper introduces and analyzes an inertial projection iterative scheme for solving combined generalized general variational-like inequality problem (CGGVLIP), the zero problem associated with a γ-inverse strongly monotone mapping, and the common fixed-point problem of a finite family of relatively nonexpansive mapp...