Fixed Point Results for Generalized (α, β)-Nonexpansive Type-1 Mapping in Hyperbolic Space

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
  • Sehar Afsheen Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
  • Irfana Ashraf Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
  • Amna Kaslsoom Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
  • Pakeeza Ashraf Department of Mathematics, Government Sadiq College Women University, Bahawalpur, Pakistan
  • Shazia Kanwal Department of Mathematics, Government College University, Faisalabad 38000, Pakistan

DOI:

https://doi.org/10.37256/cm.5420244741

Keywords:

Hyperbolic space, generalized (α, β)-nonexpansive type-1 mapping, fixed point, strong and ∆-convergence results

Abstract

In this article, we define several fundamental characteristics and put forward some basic fixed point results in the context of hyperbolic space for generalized (α, β)-nonexpansive type-1 mappings. Additionally, we present ∆-convergence and strong convergence results within the framework of hyperbolic space for these types of mappings. Lastly, we provide some numerical examples to highlight our main result and comparison the iterative procedures that we use in our study with various iterative techniques from the literature. The results in this study enhance, broaden and unite corresponding results in the literature.

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Published

2024-11-25

How to Cite

1.
Tassaddiq A, Afsheen S, Ashraf I, Kaslsoom A, Ashraf P, Kanwal S. Fixed Point Results for Generalized (<i>α</i>, <i>β</i>)-Nonexpansive Type-1 Mapping in Hyperbolic Space. Contemp. Math. [Internet]. 2024 Nov. 25 [cited 2024 Dec. 4];5(4):5413-3. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/4741