Fixed Point Results for \((\alpha\)-\(\beta_k,\phi\)-\(\psi)\) Integral Type Contraction Mappings in Fuzzy Metrics

Authors

  • Rakesh Tiwari Department of Mathematics, Government V.Y.T. Post-Graduate Autonomous College, Durg 491001, Chhattisgarh
  • Shraddha Rajput Department of Mathematics, Government V.Y.T. Post-Graduate Autonomous College, Durg 491001, Chhattisgarh

DOI:

https://doi.org/10.26713/cma.v12i1.1476

Keywords:

Fixed point, Metric spaces, Fuzzy metric spaces, Integral type contraction, Modified \((\alpha\)-\(\beta_k, \phi\)-\(\psi)\) Contraction

Abstract

In this paper, we introduce the notion of a modified \((\alpha\)-\(\beta_k,\phi\)-\(\psi)\) integral type contraction mappings in fuzzy metric spaces. We study and prove the existence and uniqueness of fixed points theorems in generalized fuzzy contractive mappings of integral type in fuzzy metric spaces. Our main result generalizes the fuzzy Banach contraction theorem and we validate our results by some suitable examples which reveal that our results are proper generalization and modification of some researchers' integral contraction works.

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References

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Published

31-03-2021
CITATION

How to Cite

Tiwari, R., & Rajput, S. (2021). Fixed Point Results for \((\alpha\)-\(\beta_k,\phi\)-\(\psi)\) Integral Type Contraction Mappings in Fuzzy Metrics. Communications in Mathematics and Applications, 12(1), 127–143. https://doi.org/10.26713/cma.v12i1.1476

Issue

Vol. 12 No. 1 (2021)

Section

Research Article

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