Fixed point theorems for $\alpha$-$\psi$-contractive mappings in partially ordered sets and application to ordinary differential equations

Document Type : Research Paper


Department of Mathematics‎, ‎Faculty of Science‎, ‎Islamic Azad University‎, ‎Central Tehran Branch‎, ‎Tehran‎, ‎Iran


‎In this paper‎, ‎we introduce $\alpha$-$\psi$-contractive mapping in partially ordered sets and construct fixed point theorems to solve a first-order ordinary differential equation by existence of its lower solution.


Main Subjects

Volume 41, Issue 6 - Serial Number 6
December 2015
Pages 1375-1386
  • Receive Date: 28 March 2014
  • Revise Date: 09 July 2014
  • Accept Date: 13 July 2014
  • First Publish Date: 01 December 2015