On Fixed-point theorems in Intuitionistic Fuzzy metric Space I

preprint2011arXivOpen access

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

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