Some fixed point theorems in fuzzy metric space

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Urmila Mishra
Abhay Sharad Ranadive
Dhananjay Gopal

Abstract

In this paper we prove common fixed point theorems in fuzzy metric spaces employing the notion of reciprocal continuity. Moreover we have to show that in the context of reciprocal continuity the notion of compatibility and semi-compatibility of maps becomes equivalent. Our result improves recent results of Singh & Jain [13] in the sense that all maps involved in the theorems are discontinuous even at common fixed point.

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How to Cite
Mishra, U., Ranadive, A. S., & Gopal, D. (2008). Some fixed point theorems in fuzzy metric space. Tamkang Journal of Mathematics, 39(4), 309–316. https://doi.org/10.5556/j.tkjm.39.2008.4
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Papers
Author Biographies

Urmila Mishra

Dept. of Appl. Mathematics LCIT, Bilaspur, C. G., India.

Abhay Sharad Ranadive

Dept. of Pure & Appl. Math. G. G. University, Bilaspur, C.G., India.

Dhananjay Gopal

Dept. of Mathematics, A.N.D. College, New Delhi, India.