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

Paunovic, Ljiljana R; Kumar, Parveen; Malik, Savita; Kumar, Manoj

doi:10.30495/maca.2021.1944432.1036

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

https://doi.org/10.30495/maca.2021.1944432.1036

Volume 4, Issue 1
Winter 2022

Pages 53-70

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Ljiljana R Paunovic ¹

Parveen Kumar ²

Savita Malik ³

Manoj Kumar ³

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

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

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

Abstract

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.

Keywords

Common fixed point

$\emptyset$-Weak Contraction

Modular Metric Spaces

$\omega-$compatible map

$\omega-$weakly Compatible map