Coupled Fixed Point Theorem for Weakly Compatible Mappings in Menger Spaces

Affiliation(s)

National Institute of Technology, Hamirpur, India.

Department of Mathematics, Ahir College, Rewari, India.

Department of Mathematics, DCRUST, Murthal, Sonepat, India.

National Institute of Technology, Hamirpur, India.

Department of Mathematics, Ahir College, Rewari, India.

Department of Mathematics, DCRUST, Murthal, Sonepat, India.

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.

Cite this paper

Grewal, M. , Jain, M. , Vats, R. and Kumar, S. (2013) Coupled Fixed Point Theorem for Weakly Compatible Mappings in Menger Spaces.*Applied Mathematics*, **4**, 1714-1719. doi: 10.4236/am.2013.412234.

Grewal, M. , Jain, M. , Vats, R. and Kumar, S. (2013) Coupled Fixed Point Theorem for Weakly Compatible Mappings in Menger Spaces.

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