On Fixed-point theorems in Intuitionistic Fuzzy metric Space I

Abstract

In this paper, first we have established two sets of sufficient conditions for a TS-IF contractive mapping to have unique fixed point in a intuitionistic fuzzy metric space. Then we have defined \,$(\epsilon ,\lambda )$\, IF-uniformly locally contractive mapping and \,$\eta -$\,chainable space, where it has been proved that the \,$(\epsilon ,\lambda )$\, IF-uniformly locally contractive mapping possesses a fixed point

11 pages