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Open access Aug 2026

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...

Ghada AlNemer, Mohammad Farid, Rehan Ali · 0 citations
Open access Sep 2026

A DYNAMIC SIMULTANEOUS ALGORITHM FOR SOLVING SPLIT EQUALITY MONOTONE VARIATIONAL INCLUSION PROBLEMS

This paper introduces a dynamic simultaneous iterative scheme for solving split equality monotone variational inclusion problems in real Hilbert spaces, where the associated operators are assumed to be firmly quasi-non expan-sive. Under appropriate conditions on the parameters, we prove that the generated sequence conv...

Mohd Asad, Mubashshir U. Khairoowala, S. Husain · 0 citations
Open access Sep 2026

Accelerated Projection and Contraction Method for Solving QuasiMonotone Variational Inequalities in Hilbert Spaces

Motivated and inspired by a novel article of Tan and Li (2022) on projection and contraction method for solving variational inequalities, we introduce and study an improved and generalized version of their work. To be precise, we provide an iterative algorithm for solving variational inequalities with quasi-monotone an...

Francis O. Nwawuru · 0 citations
Open access Sep 2026

A Double Inertial Viscosity Method for Joint Split Variational Inclusion, Generalized Mixed Equilibrium and Fixed Point Problems

In this paper, we combine double inertial extrapolation with viscosity techniques to propose a novel iterative algorithm that finds a common solution to a generalized mixed equilibrium problem, a split variational inclusion problem, and a common fixed point constraint involving two nonexpansive operators in real Hilber...

A. Bnouhachem · 0 citations
Open access Oct 2026

A double inertial method for non-monotone variational inequality problem

In this paper, we propose a viscosity-type double inertial algorithm with self-adaptive stepsizes for solving non-monotone variational inequality problems involving uniformly continuous operators in real Hilbert spaces. The proposed method combines viscosity approximation and double inertial extrapolation techniques wi...

O. Onifade, A. E. Ofem, S. A. Kajola et al. · 0 citations
Open access Oct 2026

Inertial Self-Adaptive Viscosity Algorithm for Common Solution of Split Mixed Equilibrium, Split Variational Inclusion and Fixed Point Problems

This study aims to propose a self-adaptive viscosity-type algorithm with inertial effects to find the common solutions of the split mixed equilibrium, split variational inclusion and common fixed point problems associated with nonexpansive mappings. It is worth mentioning that the step size employed in this algorithm i...

Muhammad Waseem Asghar, Mujahid Abbas · 0 citations

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