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

	Fixed point theorems for $\theta$-$\Omega$-contraction on $ (\alpha,\eta )$-$b$-rectangular metric spaces
International Journal of Nonlinear Analysis and Applications
مقاله 2، دوره 16، شماره 6، شهریور 2025، صفحه 9-22 اصل مقاله (526.48 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28290.3853
نویسندگان
Abdelkarim Kari¹؛ Mohamed Rossafi²؛ Jung Rye Lee^* ³
¹Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, B.P. 7955 Casablanca, Morocco
²LaSMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, P. O. Box 1796 Fez Atlas, Morocco
³Department of Data Science, Daejin University, Kyunggi 11159, Korea
چکیده
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.
کلیدواژه‌ها
Fixed point, $b$-rectangular metric space؛ generalized $\theta$-$\Omega$-contraction
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