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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 16 (2026), Article ID 34

Probabilistic \(b\)-suprametric spaces and nonlinear contractions, with an application to \((\zeta_1,\zeta_2)\)-decomposable measures

Karim Chaira, Mustapha Kabil, Mohammed Mahboubi

PDF (223.9 KB) https://doi.org/10.28919/afpt/10067

Abstract

This paper introduces the concept of probabilistic b-suprametric spaces (PbSMS). We conduct a systematic investigation of the fundamental topological properties inherent to these spaces. A key result is the proof of a fixed point theorem for nonlinear Banach-type contractions within the PbSMS framework, which is supported by illustrative examples. Finally, we demonstrate the practical utility of our main result by applying it to the theory of \( (\zeta_1, \zeta_2) \)-decomposable measures.

Published
28 September 2026
Volume
16 (2026)
License
CC BY 3.0

Copyright © 2026 Karim Chaira, Mustapha Kabil, Mohammed Mahboubi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

K. Chaira, M. Kabil, M. Mahboubi, Probabilistic \(b\)-suprametric spaces and nonlinear contractions, with an application to \((\zeta_1,\zeta_2)\)-decomposable measures, Adv. Fixed Point Theory 16 (2026), 34. https://doi.org/10.28919/afpt/10067

BibTeX
@article{Chaira2026,
  author  = {Chaira, Karim and Kabil, Mustapha and Mahboubi, Mohammed},
  title   = {Probabilistic \(b\)-suprametric spaces and nonlinear contractions, with an application to \((\zeta_1,\zeta_2)\)-decomposable measures},
  journal = {Adv. Fixed Point Theory},
  volume  = {16},
  year    = {2026},
  pages   = {34},
  doi     = {10.28919/afpt/10067}
}