1Department of Mathematics, Barkatullah University Institute of Technology, Hoshangabad Road, Bhopal, Madhya Pradesh, India, Email: drsyedshahnawazali@gmail.com
2Department of Applied Sciences, Sagar Institute of Research Technology and Science, Ayodhya Bypass Road, Bhopal, M.P., India, Email: arifa_khan@rediffmail.com
3Department of Mathematics, Government Engineering College, Darampura, Jagdalpur, Chhattisgarh, India, Email: jj.28481@gmail.com
4Department of Mathematics, Institute for Excellence in Higher Education, Kaliyasot Dam, Kolar Road, Bhopal, Madhya Pradesh, India, Email: sanodiapl@gmail.com
5Department of Mathematics, Govt. Motilal Vigyan Mahavidyalaya, Jehangirabad Road, Bhopal, Madhya Pradesh, India, Email: shilpijainbpl@gmail.com
Online published on 29 January, 2021.
In this Paper we establish a common fixed point theorem for weakly compatible maps on complete σ−chainable fuzzy metric space satisfying a class of implicit relations. The established results generalize, extend, unify and fuzzify several existing fixed point results in metric space and fuzzy metric space.
Fuzzy Metric Space, A−Chainable Fuzzy Metric Space, Semi-Compatible Maps, Weakly Compatibility, Implicit Relations, Common Fixed Point
