On Fixed-point theorems in Intuitionistic Fuzzy metric Space I

Details On Fixed-point theorems in Intuitionistic Fuzzy metric Space I On Fixed-point theorems in Intuitionistic Fuzzy metric Space I

2011-03-15

arxiv.org/abs/1103.2856v1

General Mathematics Notes 2011

Mathematics

General Mathematics

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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