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Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations
, C. Vetro, W. Kumam, P. Kumam
Published in Springer Verlag
2014
Volume: 2014
   
Issue: 1
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. MSC:46S40, 47H10, 34A70, 54E50. © 2014, Nashine et al.; licensee Springer.
About the journal
JournalData powered by TypesetAdvances in Difference Equations
PublisherData powered by TypesetSpringer Verlag
ISSN16871839