FIXED POINT THEOREMS IN INTUITIONISTIC FUZZY METRIC SPACE (I)

Jong Seo Park (South Korea), Jin Han Park (South Korea) and Young Chel Kwun (South Korea)

Received April 3, 2007

Abstract

In this paper, the well-known fixed point theorems of Banach and Edelstein are extended to intuitionistic fuzzy metric space defined by Park et al. [7]. Also, we prove fixed point theorems by means of another method from Park et al. [6].

Keywords and phrases: intuitionistic fuzzy metric space, fixed point, Banach contraction, Edelstein contraction.