Fixed Point Theorems for a Subfamily of Non-expansive Evolution Operators

Authors

  • Muhammad Sarwar Department of Mathematics, University of Malakand
  • Gul Rahmat Department of Mathematics, Islamia College Peshawar, Peshawar, Pakistan
  • Sadam Hussain Department of Mathematics, University of Malakand
  • Mohammad Yousef Bani Mufarrej Department of Mathematics and Sciences , Prince Sultan University, Riyadh 11586, Saudi Arabia
  • Kamaleldin Abodayeh Department of Mathematics and sciences, Prince Sultan University Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6147

Keywords:

Fixed Point, Hilbert space, Nonexpansive mapping;, evolution family, linear operator

Abstract

In this manuscript, we investigate fixed points for a subfamily of a non-expansive evolution(NeE) family of bounded linear operators on a Hilbert space $H$. Additionally, we utilize the concept of net and progression algorithm to establish several theorems regarding the strong convergence to a shared fixed point of the aforementioned subfamily. Finally, we furnish an example to bolster our findings.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Muhammad Sarwar, Gul Rahmat, Sadam Hussain, Mohammad Yousef Bani Mufarrej, Kamaleldin Abodayeh

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How to Cite

Fixed Point Theorems for a Subfamily of Non-expansive Evolution Operators. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6147. https://doi.org/10.29020/nybg.ejpam.v18i3.6147