Some common fixed point results of multivalued mappings on fuzzy metric space

Document Type : Research Paper


1 Department of Mathematics, School of Computing, University of Engineering and technology Roorkee, Haridwar, Uttarakhand-247667, India

2 Department of Mathematics, Kanya Gurukula Campus, Gurukula Kangri Vishwavidyalaya, Haridwar, Uttarakhand-249404, India

3 Department of Mathematics, Shaheed Srimati Hansa Dhanai Government Degree College, Agrora (Dharmandal), Tehri Garhwal, Uttarakhand -249127, India


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.