Work

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

Year: 2024

Type: article

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.

Source: Contemporary Mathematics

DOI: 10.37256/cm.5420244741

Authors: Asifa Tassaddiq, Sehar Afsheen, Irfana Ashraf, Amna Kaslsoom, Pakeeza Ashraf, Shazia Kanwal

Institutions: Majmaah University, International Islamic University, Islamabad, Government Sadiq College Women University, Government College University, Faisalabad

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404683396

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