A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations

By M. Eshaghi Gordji, Hamid Baghani, Gwang Hui Kim. 2012

144 citations recorded by the source corpus.

We present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a8e6057e45c452bca6c77c48456c3c6e5dd8f036

Citations in the corpus

• QUADRUPLE FIXED POINT THEOREMS FOR NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED METRIC SPACES (2012, unknown): “[16, 1, 5, 13, 4, 2, 3]).”