An Algorithm for Solving Pseudomonotone Variational Inequality  Problems in CAT(0) Spaces

Asifa Tassaddiq; Amna  Kalsoom; Asifa  Batool; Dalal  Khalid Almutairi; Sehar  Afsheen

doi:10.37256/cm.5120243233

An Algorithm for Solving Pseudomonotone Variational Inequality Problems in CAT(0) Spaces

Authors

Asifa Tassaddiq Department of Basic Sciences and Humanities, College of Computer and Information Sciences Majmaah University, Al Majmaah 11952, Saudi Arabia https://orcid.org/0000-0002-6165-8055
Amna Kalsoom Department of Mathematics & Statistics, International Islamic University, 44000, Islamabad, Pakistan
Asifa Batool Department of Mathematics & Statistics, International Islamic University, 44000, Islamabad, Pakistan
Dalal Khalid Almutairi Department of Mathematics, College of Education, Majmaah University, Al Majmaah, 11952, Saudi Arabia
Sehar Afsheen Department of Mathematics & Statistics, International Islamic University, 44000, Islamabad, Pakistan

DOI:

https://doi.org/10.37256/cm.5120243233

Keywords:

fixed point, Hadamard space, nonexpansive mapping, ∆-convergence, strong convergence

Abstract

In this paper, we presents strong and ∆-convergence results within the framework of CAT(0) space for pseudomonotone mappings. Additionally, we approximate the solution for variational inequality problems in the context of CAT(0) space for such mappings. Lastly, we provide a numerical example to highlight our main result.

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Published

2024-02-02

How to Cite

Tassaddiq A, Kalsoom A, Batool A, Khalid Almutairi D, Afsheen S. An Algorithm for Solving Pseudomonotone Variational Inequality Problems in CAT(0) Spaces. Contemp. Math. [Internet]. 2024 Feb. 2 [cited 2024 Dec. 22];5(1):590-601. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3233

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Issue

Contemporary Mathematics, Volume 5 Issue 1 (2024), 1-1121

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.