Some Coupled Fixed Point Theorems in Complete E−Fuzzy Metric Spaces

Authors

  • Shahana A R
  • Magie Jose

DOI:

https://doi.org/10.23755/rm.v46i0.1055

Abstract

In this paper some coupled coincidence fixed point theorems are established
for the mappings under ϕ- contraction in complete generalized
E- fuzzy metric spaces. Also give an example to validate the
theorem and present an application of this theorem to integral equations.

References

Bhaskar.T.G and Lakshmikantham.G.V. Fixed point theorems in partially ordred metric spaces and applications. Nonlinear Analysis, 65:1379–1393, 2006.

B.Schweizer and A.Sklar. Probabilistic metric spaces. 1983.

George.A and P.Veeramani. On some results in fuzzy metric spaces. Fuzzy Sets Systems, 64:395–399, 1994.

Lakshmikantham.V and Ciric.Lj. Coupled fixed point theorems for nonlinear contractionsin partially ordered metric spaces. Nonlinear Analysis, 70:4341–4349,2009.

L.A.Zadeh. Fuzzy sets. Fuzzy Sets. Information and control, 8:338–353, 1965.

Mustafa.Z and B.Sims. A new approach to generalized metric spaces. J.Nonlinear Convex Anal., 7:289–297, 2006.

O.Kramosil and J.Michalek. Fuzzy metric and statistical metric spaces. Kybernetika,11:336–344, 1975.

S. Sedghi, I. Altun, and N. Shobe. Coupled fixed point theorems for contractions in fuzzy metric spaces. Nonlinear Analysis, pages 1298–1304, 2012.

Shahana.A.R and M. Jose. Some fixed point theorems in complete E-fuzzy metric spaces. in press.

Shahana A R, Magie Jose Sukanya.K.P and M. Jose. Generalized fuzzy metric space and its properties. ijpam, 119(9):31–39, 2017.

Sukanya.K.P and M. Jose. Contraction theorem in E-fuzzy metric space. International Journal of Mathematics Trends and Technology, 68(2):111–118, 2022.

Xin-Qi-Hu. Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces. Fixed Point Theory and Applications, 2011

Downloads

Published

2023-03-20