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