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.

Nashine, H.K., Vetro, C., Kumam, W., Kumam, P. (2014). Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations. ADVANCES IN DIFFERENCE EQUATIONS, 2014, 1-14 [10.1186/1687-1847-2014-232].

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

VETRO, Calogero;
2014-01-01

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.
2014
Settore MAT/05 - Analisi Matematica
Nashine, H.K., Vetro, C., Kumam, W., Kumam, P. (2014). Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations. ADVANCES IN DIFFERENCE EQUATIONS, 2014, 1-14 [10.1186/1687-1847-2014-232].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/96602
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