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In this paper, first we introduce notions of (α, Ψ)-contractive and (α)-admissible for a pair of map and prove a coupled coincidence point theorem for compatible mappings using these notions. Our work extends and generalizes the results of Mursaleen et al. [1]. At the end, we will provide an example in support of our result.

applied mathematics

Coupled Fixed Point for (&amp;lt;i&amp;gt;&amp;amp;alpha;&amp;lt;/i&amp;gt;, &amp;lt;i&amp;gt;&amp;amp;Psi;&amp;lt;/i&amp;gt;)-Contractive in Partially Ordered Metric Spaces Using Compatible Mappings