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  • 标题:Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations
  • 本地全文:下载
  • 作者:Hemant Kumar Nashine ; Calogero Vetro ; Wiyada Kumam
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:232
  • DOI:10.1186/1687-1847-2014-232
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
  • 关键词:altering distance function ; complete metric space ; fuzzy mapping ; ordinary fuzzy differential equation
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