Fixed point theorems for \(\alpha-\beta-\psi\)-contractive mappings in partially ordered sets


Authors

Mohammad Sadegh Asgari - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran. Ziad Badehian - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran.


Abstract

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.


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ISRP Style

Mohammad Sadegh Asgari, Ziad Badehian, Fixed point theorems for \(\alpha-\beta-\psi\)-contractive mappings in partially ordered sets, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 518--528

AMA Style

Asgari Mohammad Sadegh, Badehian Ziad, Fixed point theorems for \(\alpha-\beta-\psi\)-contractive mappings in partially ordered sets. J. Nonlinear Sci. Appl. (2015); 8(5):518--528

Chicago/Turabian Style

Asgari, Mohammad Sadegh, Badehian, Ziad. "Fixed point theorems for \(\alpha-\beta-\psi\)-contractive mappings in partially ordered sets." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 518--528


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