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

作者：Yan, Fangfang; Su, Yongfu^*; Feng, Qiansheng

来源：Fixed Point Theory and Applications, 2012, 152.

DOI：10.1186/1687-1812-2012-152

• contraction mapping principle
• partially ordered metric spaces
• fixed point
• altering distance function
• differential equation

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 large class of nonlinear problems. As an application, we discuss the existence of a solution for a periodic boundary value problem.

• 出版日期2012
• 单位天津工业大学