DOAJ Open Access 2025

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

Ghada AlNemer Mohammad Farid Rehan Ali

Abstrak

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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>-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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Ghada AlNemer

Mohammad Farid

Rehan Ali

Format Sitasi

APA MLA BibTeX

AlNemer, G., Farid, M., Ali, R. (2025). Development of Viscosity Iterative Techniques for Split Variational-like Inequalities and Fixed Points Related to Pseudo-Contractions. https://doi.org/10.3390/math13172896

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.3390/math13172896
Akses: Open Access ✓