Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type

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Springer

Abstract

In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions. Our results generalize and modify several comparable results in the literature.

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Keywords

Altering distance function, Contraction of integral type, Coupled coincidence point, Coupled common fixed point, Generalized metric space, Ordered set, Weakly contractive condition

Citation

Cho, Y. J., Rhoades, B. E., Saadat, R., Samet, B., & Shatanawi, W. (2012). Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type. Fixed Point Theory and Applications, 2012, 8. http://dx.doi.org/10.1186/1687-1812-2012-8

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© 2012 Cho et al. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
http://creativecommons.org/licenses/by/2.0

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Article