Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations

Calogero Vetro, Hemant Kumar Nashine, Poom Kumam, Wiyada Kumam

Risultato della ricerca: Articlepeer review

4 Citazioni (Scopus)

Abstract

Ran and Reurings (Proc. Am. Math. Soc. 132(5):1435-1443, 2004) proved an analog of the Banach contraction principle in metric spaces endowed with a partial order and discussed some applications to matrix equations. The main novelty in the paper of Ran and Reurings involved combining the ideas in the contraction principle with those in the monotone iterative technique. Motivated by this, we present some common fixed point results for a pair of fuzzy mappings satisfying an almost generalized contractive condition in partially ordered complete metric spaces. Also we give some examples and an application to illustrate our results.
Lingua originaleEnglish
pagine (da-a)1-14
Numero di pagine14
RivistaAdvances in Difference Equations
Volume2014
Stato di pubblicazionePublished - 2014

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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