On Fixed-point theorems in Intuitionistic Fuzzy metric Space I

Mathematics – General Mathematics

Scientific paper

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11 pages

Scientific paper

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

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