Exploring multivalued probabilistic ψ-contractions with orbits in b-Menger spaces

  • Youssef Achtoun Abdelmalek Essaadi University, Normal Higher School, Department of Mathematics and Computer Science, Tetouan, Kingdom of Morocco https://orcid.org/0009-0005-5334-2383
  • Stojan Radenović University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Republic of Serbia https://orcid.org/0000-0001-8254-6688
  • Ismail Tahiri Abdelmalek Essaadi University, Normal Higher School, Department of Mathematics and Computer Science, Tetouan, Kingdom of Morocco https://orcid.org/0000-0002-7723-3721
  • Mohammed Lamarti Sefian Abdelmalek Essaadi University, Normal Higher School, Department of Mathematics and Computer Science, Tetouan, Kingdom of Morocco
DOI: https://doi.org/10.5937/vojtehg72-49063
Keywords: fixed point, b-Menger spaces, multivalued ψ-contraction, fuzzy b-metric space

Abstract


Introduction/purpose: The paper presents a novel approach to certain well-established fixed point theorems for multivalued probabilistic con- tractions in b-Menger spaces, leveraging the boundedness of the orbits. The aim was to generalize and enhance the results previously derived by Fang and Hadžić.

Methods: The boundedness of orbits in b-Menger spaces is used to establish their approach for multivalued probabilistic contractions.

Results: The findings of the study not only generalized the existing fixed point theorems but also enhanced them significantly. The effectiveness of the approach in extending the results originally proposed by Fang and Hadžić was showcased. Moreover, the applicability of the coincidence fixed point theorem in fuzzy b-metric spaces was demonstrated.

Conclusions: The study presented a novel perspective on fixed point the- orems in multivalued probabilistic contractions within b-Menger spaces. By leveraging boundedness and introducing a coincidence fixed point theorem for fuzzy b-metric spaces, the work contributed to the advance- ment in this field.

 

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Published
2024/06/10
Issue
Vol. 72 No. 2 (2024): April-June
Section
Original Scientific Papers

Copyright (c) 2024 Youssef Achtoun, Stojan Radenović , Ismail Tahiri, Mohammed Lamarti Sefian

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