Coupled Fixed Point Theorem for Weakly Compatible Mappings in Menger Spaces

Manju Grewal, Manish Jain, Ramesh Vats, Sanjay Kumar

Department of Mathematics, Ahir College, Rewari, India.
Department of Mathematics, DCRUST, Murthal, Sonepat, India.
National Institute of Technology, Hamirpur, India.

DOI: 10.4236/am.2013.412234                

Abstract

In this paper, first, we introduce the notion of weakly compatible maps for coupled maps and then prove a coupled fixed point theorem under more general t-norm(H-type norm) in Menger spaces. We support our theorem by providing a suitable example. At the end, we obtain an application.

Keywords

Menger Spaces; w-Compatible Maps; Phi-Contractive Conditions

Conflicts of Interest

The authors declare no conflicts of interest.

References

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