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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Bibliographic Details
Published in:	Fixed point theory and algorithms for sciences and engineering Vol. 2012; no. 1; pp. 1 - 13
Main Authors:	Yan, Fangfang, Su, Yongfu, Feng, Qiansheng
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 18.09.2012 Springer Nature B.V
Subjects:	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
Online Access:	Get full text
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