Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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

Document Type : Research Paper

Authors
Department of Mathematics‎, ‎Faculty of Science‎, ‎Islamic Azad University‎, ‎Central Tehran Branch‎, ‎Tehran‎, ‎Iran
Abstract
‎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.
Keywords
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