# Coupled Fixed Point Results for Mappings Involving $(\alpha , \psi)$- Weak Contractions in Ordered Metric Spaces and Applications

Volume 10, Issue 1, pp 23-46
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### Authors

Manish Jain - Department of Mathematics, Ahir College, Rewari 123401, India. Neetu Gupta - HAS Department, YMCAUST, Faridabad, India. Sanjay Kumar - Department of Mathematics, DCRUST, Muthal, Soneptal, India.

### Abstract

In this paper we introduce the notion of $(\alpha , \psi)$- weak contractions and use the notion to establish the existence and uniqueness of coupled common fixed points for the mixed monotone operators in partially ordered metric spaces. The obtained results extend, improve, complement and unify many recent coupled fixed point results present in the literature. The theoretic results are accompanied with suitable examples. An application to the existence and uniqueness of the solution of the system of integral equations is also presented.

### Share and Cite

##### ISRP Style

Manish Jain, Neetu Gupta, Sanjay Kumar, Coupled Fixed Point Results for Mappings Involving $(\alpha , \psi)$- Weak Contractions in Ordered Metric Spaces and Applications, Journal of Mathematics and Computer Science, 10 (2014), no. 1, 23-46

##### AMA Style

Jain Manish, Gupta Neetu, Kumar Sanjay, Coupled Fixed Point Results for Mappings Involving $(\alpha , \psi)$- Weak Contractions in Ordered Metric Spaces and Applications. J Math Comput SCI-JM. (2014); 10(1):23-46

##### Chicago/Turabian Style

Jain, Manish, Gupta, Neetu, Kumar, Sanjay. "Coupled Fixed Point Results for Mappings Involving $(\alpha , \psi)$- Weak Contractions in Ordered Metric Spaces and Applications." Journal of Mathematics and Computer Science, 10, no. 1 (2014): 23-46

### Keywords

• Mixed g-monotone property
• Coupled coincidence point
• $(\alpha ، \psi)$- weak contractions
• Coupled common fixed point.

•  47H09
•  47H10
•  54H25

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