Journal of Applied Mathematics

Coupled Coincidence Point Results for $(\psi ,\alpha ,\beta )$-Weak Contractions in Partially Ordered Metric Spaces

Abstract

In this paper coupled coincidence points of mappings satisfying a nonlinear contractive condition in the framework of partially ordered metric spaces are obtained. Our results extend the results of Harjani et al. (2011). Moreover, an example of the main result is given. Finally, some coupled coincidence point results for mappings satisfying some contraction conditions of integral type in partially ordered complete metric spaces are deduced.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 496103, 19 pages.

Dates
First available in Project Euclid: 2 January 2013

https://projecteuclid.org/euclid.jam/1357153503

Digital Object Identifier
doi:10.1155/2012/496103

Mathematical Reviews number (MathSciNet)
MR2979438

Zentralblatt MATH identifier
1251.54056

Citation

Razani, A.; Parvaneh, V. Coupled Coincidence Point Results for $(\psi ,\alpha ,\beta )$ -Weak Contractions in Partially Ordered Metric Spaces. J. Appl. Math. 2012 (2012), Article ID 496103, 19 pages. doi:10.1155/2012/496103. https://projecteuclid.org/euclid.jam/1357153503