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Certain Fixed Point Results for (α-F)-Contraction in New Controlled S-Metric Type Spaces

Year: 2025

Type: article

Abstract: In this paper, we introduce the concept of a new Controlled S-Metric type Space (CSMS) by using a function in the right hand side of the triangle inequality of S-metric space. The triangle inequality in the new CSMS will have the form Further, we provide some non-trivial examples, investigate (α, F)-contraction and prove several fixed point results in the setting of new CSMS. Furthermore, we present some of its consequences to illustrate the significance of our results. At the end, we provide an application to support the main result.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6520255274

Authors: Iqra Shereen, Ambreen Bano, Tayyab Kamran, Umar Ishtiaq, Ioannis K. Argyros

Institutions: Quaid-i-Azam University, Riphah International University, Cameron University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4415012469

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