Common Fixed Point Theorems ForWeakly Compatible Mappings In

Complex Valued M− Fuzzy Metric Spaces

M. Jeyaraman1∗ , M. Pandiselvi2

1PG and Research Department of Mathematics,

Raja Doraisingam Govt. Arts College, Sivagangai,

Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India.

2Research Scholar, PG and Research Department of Mathematics,

Raja Doraisingam Govt. Arts College, Sivagangai,

Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India.

Emails: jeya.math@gmail.com;mpandiselvi2612@gmail.com

Abstract

In this paper, we introduce the notion of complex valuedM- fuzzy metric spaces. We are proving a common

fixed point theorem for weakly compatible mappings satisfying common E.A. Like property in complex valuedM-

fuzzy metric space. Our results improve and extend the results of Singh et al.12

Keywords: Metric Space; Complex Valued; Common E.A. Like Property; Compatible Maps; Weakly Compatible

Maps.