Author/Authors :
Kumar, Mohit Department of Mathematics - School of Computing - University of Engineering and technology Roorkee, Haridwar, Uttarakhand, India , Arora, Ritu Department of Mathematics - Kanya Gurukula Campus, Gurukula Kangri Vishwavidyalaya, Haridwar, Uttarakhand, India , Kumar, Ajay Department of Mathematics - Shaheed Srimati Hansa Dhanai Government Degree College, Agrora (Dharmandal), Tehri Garhwal, Uttarakhand, India
Abstract :
The aim of this paper is to establish new fixed point theorems for single-valued and multivalued maps which satisfy α-ψ-contraction conditions in the complete fuzzy metric space. In this paper, we extend the results of Hussain et al. and Samet et al. Some comparative examples are also given which demonstrate the superiority of our results from the exiting results in the literature.
Keywords :
Fuzzy metric space , fixed point , alpha−psi−contractive mapping , alphaast−admissible , Hausdorff fuzzy metric space
