Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41620151201Fixed point theorems for $\alpha$-$\psi$-contractive mappings in partially ordered sets and application to ordinary differential equations13751386700ENM. S.AsgariDepartment of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, IranZ.BadehianDepartment of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, IranJournal Article20140328In 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.http://bims.iranjournals.ir/article_700_0bf7a2d4c715efe5f9af5f8a04bb1945.pdf