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Keywords = split generalized general variational-like inequality problem

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24 pages, 643 KB  
Article
Development of Viscosity Iterative Techniques for Split Variational-like Inequalities and Fixed Points Related to Pseudo-Contractions
by Ghada AlNemer, Mohammad Farid and Rehan Ali
Mathematics 2025, 13(17), 2896; https://doi.org/10.3390/math13172896 - 8 Sep 2025
Cited by 1 | Viewed by 859
Abstract
This work presents an extragradient-type iterative process combined with the viscosity method to find a common solution to a split generalized variational-like inequality, a variational inequality, and a fixed point problem associated with a family of ε-strict pseudo-contractive mappings and a nonexpansive [...] Read more.
This work presents an extragradient-type iterative process combined with the viscosity method to find a common solution to a split generalized variational-like inequality, a variational inequality, and a fixed point problem associated with a family of ε-strict pseudo-contractive mappings and a nonexpansive operator in Hilbert spaces. Strong convergence of the proposed algorithm is established, with some remarks derived from the main theorem. Numerical experiments are carried out to verify the applicability of the method and provide comparative observations. The results broaden and unify a range of existing contributions in this field. Full article
(This article belongs to the Special Issue Applied Functional Analysis and Applications: 2nd Edition)
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