Some Fixed Point Theorems for \(\Theta-\phi\)-Multivalued Contraction Mappings in Rectangular \(b\)-Metric Spaces

Authors

  • Hafida Massit Laboratory Partial Differential Equations, Spectral Algebra and Geometry, University of Ibn Tofail, Kenitra, Morocco
  • Mohamed Rossafi Laboratory Partial Differential Equations, Spectral Algebra and Geometry, Higher School of Education and Training, University of Ibn Tofail, Kenitra, Morocco
  • Zoran D. Mitrovic Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
  • Ahmad Aloqaily Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
  • Nabil Mlaiki Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6086

Keywords:

Admissible mapping, fixed point, $\alpha$complete spaces, $\Theta-\phi-$multivalued contraction, rectangular $b-$metric spaces

Abstract

In this paper, we give some fixed point theorems for $\theta-\phi-$multivalued contractions in $\alpha-$complete rectangular $b-$metric spaces. We establish some fixed point theorems including the $\alpha-$admissible $\theta-\phi-$multivalued Kannan type and Reich type. Our results improve and generalize some results from the literature.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Hafida Massit, Mohamed Rossafi, Zoran D. Mitrovic, Ahmad Aloqaily, Nabil Mlaiki

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How to Cite

Some Fixed Point Theorems for \(\Theta-\phi\)-Multivalued Contraction Mappings in Rectangular \(b\)-Metric Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6086. https://doi.org/10.29020/nybg.ejpam.v18i2.6086