### ON COINCIDENCE POINT THEOREM FOR NEW CONTRACTIVE CONDITION WITH APPLICATION

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#### Abstract

We establish coincidence point theorem for g-non-decreasing mappings satisfying new contractive condition on partially ordered metric spaces. With the help of obtain result, we show the formation of the coupled coincidence point theorem for generalized compatible pair of mappings F, G:X²→X. Furthermore, an example and an application to integral equation are also given to show the usefulness of obtained results. Our results generalize, modify, improve and sharpen several well-known results.

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