Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations

Yongfu Su
2014 Fixed Point Theory and Applications  
The aim of this paper is to present the definition of a generalized altering distance function and to extend the results of Yan et al. (Fixed Point Theory Appl. 2012:152, 2012 and some others, and to prove a new fixed point theorem of generalized contraction mappings in a complete metric space endowed with a partial order by using generalized altering distance functions. The results of this paper can be used to investigate a large class of nonlinear problems. As an application, we discuss the
more » ... istence of a solution for a periodic boundary value problem.
doi:10.1186/1687-1812-2014-227 fatcat:3x7nh3eosnb7fnjyrfhumhs64u