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.
Asgari, M. S., & Badehian, Z. (2015). Fixed point theorems for $\alpha$-$\psi$-contractive mappings in partially ordered sets and application to ordinary differential equations. Bulletin of the Iranian Mathematical Society, 41(6), 1375-1386.
MLA
M. S. Asgari; Z. Badehian. "Fixed point theorems for $\alpha$-$\psi$-contractive mappings in partially ordered sets and application to ordinary differential equations". Bulletin of the Iranian Mathematical Society, 41, 6, 2015, 1375-1386.
HARVARD
Asgari, M. S., Badehian, Z. (2015). 'Fixed point theorems for $\alpha$-$\psi$-contractive mappings in partially ordered sets and application to ordinary differential equations', Bulletin of the Iranian Mathematical Society, 41(6), pp. 1375-1386.
VANCOUVER
Asgari, M. S., Badehian, Z. Fixed point theorems for $\alpha$-$\psi$-contractive mappings in partially ordered sets and application to ordinary differential equations. Bulletin of the Iranian Mathematical Society, 2015; 41(6): 1375-1386.
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