@article { author = {Asgari, M. S. and Badehian, Z.}, title = {Fixed point theorems for $\alpha$-$\psi$-contractive mappings in partially ordered sets and application to ordinary differential equations}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {41}, number = {6}, pages = {1375-1386}, year = {2015}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, 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 = {Fixed point‎,‎$\alpha$-$\psi$-contractive mappings‎,‎partially ordered sets‎,‎lower and upper solutions‎}, url = {http://bims.iranjournals.ir/article_700.html}, eprint = {http://bims.iranjournals.ir/article_700_0bf7a2d4c715efe5f9af5f8a04bb1945.pdf} }