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

Authors

  • Iqra Shereen Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan
  • Ambreen Bano Department of Mathematics and Statistics, Ripha International University, Haj Complex I-14, Islamabad, 44220, Pakistan
  • Tayyab Kamran Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan
  • Umar Ishtiaq Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan
  • Ioannis K. Argyros Department of Computing and Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA https://orcid.org/0000-0002-9189-9298 (unauthenticated)

DOI:

https://doi.org/10.37256/cm.6520255274

Keywords:

fixed poin, <i>S</i>-metric-type space, controlled function, integral equations

Abstract

In this paper, we introduce the concept of a new Controlled S-Metric type Space (CSMS) by using a function mceclip0-b7f51d557e8b01062a71c343be4d8734.png in the right hand side of the triangle inequality of S-metric space. The triangle inequality in the new CSMS will have the form mceclip2-9e3b0a4c2c44fd162226cbaa0e90943c.pngmceclip5-8859817090b9243c1b1880cc5bfc19ca.pngmceclip6-36efe31a05b3f1c8f5882f2f73494cb8.pngmceclip7-171442c3678f68cb6b6429220395c896.png 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.

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Published

2025-10-10

Issue

Contemporary Mathematics, Volume 6 Issue 5 (2025), 5368-7533

Section

Research Article

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License

Copyright (c) 2025 Ioannis K. Argyros, et al.

Creative Commons License

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

How to Cite

1.
Certain Fixed Point Results for (α-F)-Contraction in New Controlled S-Metric Type Spaces. Contemp. Math. [Internet]. 2025 Oct. 10 [cited 2025 Dec. 24];6(5):7336-5. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5274