Gregus type fixed point results for tangential mappings satisfying contractive condition in fuzzy metric spaces

Abstract

In this paper, we define the tangential property for a pair of set valued and single valued mappings in fuzzy metric spaces and using this new notion we prove some coupled coincidence and common fixed point theorems for hybrid pair of mappings without appeal to the completeness of the underlying space. Our results generalize, unify and extend the results of A.Djoudi ,A.Alioche , J. Math. Anal. Appl. 329(2007),31-45], Parin et.al, chaipunya et.al Advances in Difference Equations 2012,2012:83, W.Sintunavarat and P.Kumam, Int.J.Math. and Math Sci. Vol.2011, Article ID 923458, 12pages,Pathak and Shahazad (Bull. Belg .Math Soc. Simon Stevin 16,277-288,2009) and several known fixed point results.