The aim is to utilize a new metric called an MvbM_{\rm{v}}^{\rm{b}}–metric which is an improvement and generalization of Mv−metric to revisit the celebrated Banach and Sehgal contractions in MvbM_{\rm{v}}^{\rm{b}}–metric space. We demonstrate that the collection of open balls forms a basis on MvbM_{\rm{v}}^{\rm{b}}-metric space. Further, we give some examples for the verification of established results. Towards the end, we solve a non-linear matrix equation and an equation of rotation of a hanging cable to substantiate the utility of these extensions.
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