Coupled Fixed Point Results in Partially Ordered Fuzzy Metric Spaces
B. S. Choudhury
Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.
P. Das
Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.
P. Bhattacharyya *
Department of Humanities and Basic Science, Fr. C. Rodrigues Institute of Technology, Vashi, Navi Mumbai - 400703, Maharastra, India.
P. Saha
Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.
P. Lata
Department of Mathematics, Pratap University, Sunderpura, Jaipur, Rajasthan, India.
*Author to whom correspondence should be addressed.
Abstract
In the present paper we establish a coupled xed point result in partially ordered fuzzy metric spaces by utilizing the control function. We obtain our results for Hadžić type t-norm. We also establish two lemmas and deduce a corollary. By an application of the xed point theorem in fuzzy metric spaces, a corresponding result is obtained in metric spaces. Our work extends some existing results [1, 2, 3].
Keywords: Fixed point, fuzzy, metric space.