International Journal of Nonlinear Analysis and Applications

Fixed point theorems for $\theta$-$\Omega$-contraction on $ (\alpha,\eta )$-$b$-rectangular metric spaces

Document Type : Research Paper

Authors

1 Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, B.P. 7955 Casablanca, Morocco

2 LaSMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, P. O. Box 1796 Fez Atlas, Morocco

3 Department of Data Science, Daejin University, Kyunggi 11159, Korea

Abstract

In this paper, we consider a new extension of the Banach contraction principle, $\theta$-$\Omega$-contraction inspired by the concept of $\theta$-contraction in $(\alpha,\eta )$-$b$-rectangular metric spaces to study the existence and uniqueness of fixed point theorems for the mappings in metric spaces. Moreover, we discuss some illustrative examples to highlight the realized improvements.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 6
June 2025
Pages 9-22
  • Receive Date: 04 September 2022
  • Accept Date: 15 February 2023