# Existence of fixed points for $$\mathcal {J}$$ J - $$\psi$$ ψ -fuzzy contractions in fuzzy metric spaces endowed with graph

Existence of fixed points for $$\mathcal {J}$$ J - $$\psi$$ ψ -fuzzy contractions in... Graph plays the role of partial ordering in fuzzy metric spaces. Also, the language of graph in a fuzzy metric space presents a fruitful application of mathematics in computer science and engineering. In this paper, we direct the concept of fuzzy metric space towards the graph theory using altering distance function. Here, to find fixed point, we define a new contraction $$\mathcal {J}$$ J - $$\psi$$ ψ -fuzzy contraction in fuzzy metric space $$(K,\mathcal {F},*)$$ ( K , F , ∗ ) endowed with a graph. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

# Existence of fixed points for $$\mathcal {J}$$ J - $$\psi$$ ψ -fuzzy contractions in fuzzy metric spaces endowed with graph

, Volume 27 (2) – May 25, 2018
11 pages

/lp/springer-journals/existence-of-fixed-points-for-mathcal-j-j-psi-fuzzy-contractions-in-WtdwAOh0lt
Publisher
Springer Journals
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-018-0084-7
Publisher site
See Article on Publisher Site

### Abstract

Graph plays the role of partial ordering in fuzzy metric spaces. Also, the language of graph in a fuzzy metric space presents a fruitful application of mathematics in computer science and engineering. In this paper, we direct the concept of fuzzy metric space towards the graph theory using altering distance function. Here, to find fixed point, we define a new contraction $$\mathcal {J}$$ J - $$\psi$$ ψ -fuzzy contraction in fuzzy metric space $$(K,\mathcal {F},*)$$ ( K , F , ∗ ) endowed with a graph.

### Journal

The Journal of AnalysisSpringer Journals

Published: May 25, 2018

### References

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