Geodesic
Fixed point theorems for $\alpha-\beta-\psi$-contractive mappings in partially ordered sets
Asgari, Mohammad Sadegh1 ; Badehian, Ziad1
1 Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 5, p. 518-528.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we introduce a new concept of $\alpha-\beta-\psi$-contractive type mappings and construct some fixed point theorems for such mappings in metric spaces endowed with partial order. Moreover, we use fixed point theorems to find a solution for the first-order boundary value differential equation.
DOI : 10.22436/jnsa.008.05.07
Classification : 47H10, 34A12
Keywords: Fixed point, \(\alpha-\beta-\psi\)-contractive mappings, partially ordered sets, lower and upper solutions.

Asgari, Mohammad Sadegh 1 ; Badehian, Ziad 1

1 Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran 
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Asgari, Mohammad Sadegh; Badehian, Ziad. Fixed point theorems for \(\alpha-\beta-\psi\)-contractive mappings in partially ordered sets. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 5, p. 518-528. doi : 10.22436/jnsa.008.05.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.05.07/

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