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Open access Sep 2026

A Modified Self-Adaptive Subgradient Extragradient Technique for Solving Variational Inequality in Real Hilbert Spaces

A modified self adaptive inertial subgradient extragradient algorithm for solving a pseudomonotone variational inequality and fixed point problems in real Hilbert spaces was introduced. The strong convergence of the sequence generated by the algorithm proposed was established under some convenient conditions. Some nume...

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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...

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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...

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Open access Aug 2026

Alternated dual inertial concurring algorithms for the generalized variational inclusion problems with applications

In this paper, we investigate the generalized variational inclusion problem in Hilbert spaces. To solve this problem, we propose a novel alternating dual inertial concurring algorithm and establish a rigorous convergence theorem for the proposed method. We further demonstrate the applicability of our results by address...

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Open access Aug 2026

A Self-Adaptive Inertial Multi-Step Projection Method for Large-Scale Pseudomonotone Nonlinear Systems

In this paper, we introduce an adaptive inertial extragradient method for approximating a common solution of a pseudomonotone equilibrium problem and a fixed-point problem associated with a mapping satisfying condition \((C_\mu)\) in a uniformly convex hyperbolic space. The proposed method integrates inertial extrapola...

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