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Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations
2014
Fixed Point Theory and Applications
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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
doi:10.1186/1687-1812-2014-227
fatcat:3x7nh3eosnb7fnjyrfhumhs64u