# Fixed point theorems for $\alpha-\beta-\psi$-contractive mappings in partially ordered sets

Volume 8, Issue 5, pp 518--528
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### 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.

### Share and Cite

##### 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

### Keywords

• Fixed point
• $\alpha-\beta-\psi$-contractive mappings
• partially ordered sets
• lower and upper solutions.

•  47H10
•  34A12

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