On Fixed-point Theorems in Intuitionistic Fuzzy Metric Space I

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 (ε, λ) IF-uniformly locally contractive mapping and η-chainable space, where it has been proved that the (ε, λ) IF-uniformly locally contractive mapping possesses a fixed point.