Some common fixed point theorems in fuzzy metric spaces using compatible of type A-1 and A-2

Abstract

Recently M. S Khan, H. K. Pathak and R. George [9] have been introduced the concept of compatible of type A − 1 and type A − 2 and obtained some common fixed point theorems in fuzzy metric spaces. In this connection we have proved some common fixed point theorems in fuzzy metric space using semicompatible mappings.

Common Fixed Point Theorem in Fuzzy Metric Space Using Control Function

“…Recently, C. T. Aage and J. N. Salunke [2] proved existence and uniqueness of fixed point in fuzzy metric space using the following contraction…”

“…Unless mentioned or defined otherwise, for all terminology and notation in this paper, the reader is referred to [2,3,4,5,6,7,8,9,10,12,13,15]. Kramosil and Michalek [12] introduced fuzzy metric space, George and Veermani [8] modified the notion of fuzzy metric spaces with the help of continuous t-norms.…”