Affiliations: [a] Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India
| [b] Department of Applied Mathematics, Delhi Technological University, Delhi, India
| [c]
University Institute of Engineering and Technology, Panjab University, Chandigarh, India
Correspondence:
[*]
Corresponding author. Vishal Gupta, Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana-133207, Haryana, India. E-mail: vishal.gmn@gmail.com.
Abstract: Recent researches in the development of metric space to V-fuzzy metric spaces encouraged us to write this paper. In this paper, we have defined a new contraction called V-ψ-fuzzy contraction in a V-fuzzy metric space (V, M, *) endowed with a graph. Here, we have extended the Banach Contraction Principle on V-fuzzy metric spaces in association with graph. Also, we have explained the characteristic of Graph as of partial ordering, which provides a way to find fixed point for n-tuples of a V-fuzzy metric space and an important application in the field of computer science.
