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Coupled common fixed point results involving (Φ,Ψ)-contractions in ordered generalized metric spaces with application to integral equations

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2013

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Springeropen

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Abstract

We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying -contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given. MSC: 54H10, 54H25.

Description

Jain, Manish/0000-0003-1652-8718; Tas, Kenan/0000-0001-8173-453X; Gupta, Neetu/0000-0002-4957-9127

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Partially Ordered Set, Mixed G-Monotone Property, Coupled Coincidence Point, Coupled Common Fixed Point

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Jain, Manish; Tas, Kenan; Gupta, Neetu. (2013). "Coupled common fixed point results involving (Φ,Ψ)-contractions in ordered generalized metric spaces with application to integral equations", Journal of Inequalities and Applications, Vol.2013.

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