Common fixed point results for ω-compatible and ω-weakly compatible maps in modular metric spaces

Mathematical Analysis and its Contemporary Applications

دوره 4، شماره 1، فروردین 2022، صفحه 53-70   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/maca.2021.1944432.1036

نویسندگان

Ljiljana R Paunovic^{* 1}؛ Parveen Kumar²؛ Savita Malik³؛ Manoj Kumar³

¹Teacher Education Faculty University in Pristina-Kosovska Mitrovica Nemanjina bb, 38218 Leposavic, Serbia

²Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat 131039, Haryana, India.

³Department of Mathematics, Faculty of Science, Baba Mastnath University, Asthal Bohar Rohtak-124021, Haryana, India

چکیده

The aim of this paper is to prove a common fixed point theorem for two pairs of $\omega$-compatible and $\omega$-weakly compatible maps for extending and generalizing the results of Murthy and Prasad [12] in modular metric spaces. The main result is also illustrated by an example to demonstrate the degree of validity of our hypothesis.

کلیدواژه‌ها

Common fixed point؛ $\emptyset$-Weak Contraction؛ Modular Metric Spaces؛ $\omega-$compatible map؛ $\omega-$weakly Compatible map