Fuzzy Fixed Point Theorem for Multivalued \(F\)-Contraction in \(b\)-Metric Spaces

Authors

  • Darunee Hunwisai Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140
  • Poom Kumam Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140

DOI:

https://doi.org/10.26713/cma.v7i3.417

Keywords:

\(b\)-metric space, Fuzzy mappings, Fuzzy fixed point, \(F\)-contraction

Abstract

In this work, we introduce and suggest the new concept of multivalued fuzzy \(F\)-contraction mappings in \(b\)-metric spaces. We also establish and prove the existence of an \(\alpha\)-fuzzy fixed point theorem in $b$-metric spaces.

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CMA Vol 7 issue 3 (2016)

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Published

14-11-2016
CITATION

How to Cite

Hunwisai, D., & Kumam, P. (2016). Fuzzy Fixed Point Theorem for Multivalued \(F\)-Contraction in \(b\)-Metric Spaces. Communications in Mathematics and Applications, 7(3), 179–187. https://doi.org/10.26713/cma.v7i3.417

Issue

Vol. 7 No. 3 (2016)

Section

Research Article

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