Fuzzy Version of Some Fixed Point Theorems On Expansion Type Maps in Fuzzy FM Metric Spaces

R. K. Saini, Vishal -, S. B. Singh

Abstract

Ever since the introduction of fuzzy sets by Zadeh [1], the fuzziness invaded almost all the branches of crisp mathematics. Deng [2], Kaleva and Seikalla [3] and Kramosil and Michalek [4], have introduced the concept of fuzzy metric space in di®erent ways. In order to define the Hausdor® topology of fuzzy metric space, George and Veeramani [5] modified the concept of fuzzy metric space introduced by Kramosil and Michalek [4]. In this paper effort has been made to obtain some results on fixed points of expansion type mapping in fuzzy metric space. Our results are the fuzzy version of some fixed point theorems for expansion type mappings on metric spaces.