Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations
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Author list: Nashine H.K., Vetro C., Kumam W., Kumam P.
Publisher: SpringerOpen
Publication year: 2014
Journal: Advances in Difference Equations (1687-1839)
Volume number: 2014
Issue number: 1
ISSN: 1687-1839
eISSN: 1687-1847
Languages: English-Great Britain (EN-GB)
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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. ฉ 2014, Nashine et al.; licensee Springer.
Keywords
altering distance function, complete metric space, fuzzy mapping, ordinary fuzzy differential equation
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