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

نویسندگان
Rossafi, Mohamed ID 1
Kari, Abdelkarim ID 2
Lee, Jung Rye ID 3

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

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

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

doi
10.22075/ijnaa.2023.28290.3853
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