A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations

The aim of this paper is to extend the results of Harjani and Sadarangani and some other authors and to prove a new fixed point theorem of a contraction mapping in a complete metric space endowed with a partial order by using altering distance functions. Our theorem can be used to investigate a larg...

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Vydáno v:	Fixed point theory and algorithms for sciences and engineering Ročník 2012; číslo 1; s. 1 - 13
Hlavní autoři:	Yan, Fangfang, Su, Yongfu, Feng, Qiansheng
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 18.09.2012 Springer Nature B.V
Témata:	Analysis Applications of Mathematics Boundary value problems Differential equations Differential Geometry Mapping Mathematical analysis Mathematical and Computational Biology Mathematics Mathematics and Statistics Metric space Nonlinearity Theorems Topology altering distance function partially ordered metric spaces differential equation contraction mapping principle fixed point
ISSN:	1687-1812, 1687-1820, 1687-1812, 2730-5422
On-line přístup:	Získat plný text
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