Aug 2026· Rendiconti del Circolo Matematico di Palermo Series 2· Vol 75· 0 citations· 31 references
Abstract
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 addressing several related problems. Finally, we present numerical examples that illustrate the efficiency, accuracy, and practical implementability of the proposed algorithm.
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...
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· Journal of Advances in Optim...· 0 citations
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...
K. Aremu, Muhammed Ibrahim Mona, Muhammad Ibrahim et al.· Journal of Advances in Optim...· 0 citations
In this paper, we study a variational inclusion problem in a real ordered Hilbert space via an averaged-operator-based approach. The proposed framework combines Yosida and Cayley approximation operators with the logical XOR and XNOR operations, resulting in a unified iterative procedure for obtaining solutions. Using t...
Arifuzzaman, S. Irfan, Ahmad A. Almutlg et al.· Axioms· 0 citations
