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Coupled Fixed Point for (<i>α</i>, <i>Ψ</i>)-Contractive in Partially Ordered Metric Spaces Using Compatible Mappings
Department of Mathematics, DCRUST, Sonepat, India
Department of Mathematics, DCRUST, Sonepat, India
- 1 Department of Mathematics, DCRUST, Sonepat, India
- 2 Department of Mathematics, DCRUST, Sonepat, India
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Abstract
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.
KeywordsCoupled Coincidence Point<i>α</i>-<i>ψ</i>-Contractive MappingCompatible Mappings
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