A generalization of Geraghty%26apos;s theorem in partially ordered metric spaces and applications to ordinary differential equations

作者：Gordji Madjid Eshaghi; Ramezani Maryam; Cho Yeol Je^*; Pirbavafa Saeideh

来源：Fixed Point Theory and Applications, 2012, 1-9.

DOI：10.1186/1687-1812-2012-74

• fixed point
• partially ordered metric spaces
• contraction
• initial-value problem

The purpose of this article is to present some fixed point theorems for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of an initial-boundary-value problem. %26lt;br%26gt;2000 Mathematics Subject Classification: 47H10; 54H25; 34B15.

• 出版日期2012