Common Fixed Point Results for \((\phi,\psi)\)-Weak Contraction Mappings via \(f\)-\(\alpha\)-Admissible Mappings in Intuitionistic Fuzzy Metric Spaces

Authors

  • Wudthichai Onsod KMUTT Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok
  • Poom Kumam MUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok

DOI:

https://doi.org/10.26713/cma.v7i3.416

Keywords:

Common fixed point, Intuitionistic fuzzy metric space, \(\alpha\)-admissible, \((\phi, \psi)\)-weak contractions

Abstract

In this paper, by using the concept of \(f\)-\(\alpha\)-admissible mappings, we prove common fixed point in intuitionistic fuzzy metric spaces. We also introduce the notion of \(f\)-\(\alpha\)-\(\phi\)-\(\psi\)-weak contraction mappings in intuitionistic fuzzy metric spaces. The presented theorems extend, generalize and improve the corresponding results which given in the literature.

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References

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CMA Vol 7 issue 3 (2016)

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Published

14-11-2016
CITATION

How to Cite

Onsod, W., & Kumam, P. (2016). Common Fixed Point Results for \((\phi,\psi)\)-Weak Contraction Mappings via \(f\)-\(\alpha\)-Admissible Mappings in Intuitionistic Fuzzy Metric Spaces. Communications in Mathematics and Applications, 7(3), 167–178. https://doi.org/10.26713/cma.v7i3.416

Issue

Vol. 7 No. 3 (2016)

Section

Research Article

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