Abstract
In this paper, we introduce new contractive mappings in the setup of completeness and uniqueness of fixed point theorem on b-metric space. We improve the recent fixed point results established by Agrawal et al. (Agrawal, S., Qureshi, K. and Nema, J., A fixed point theorems for b-metric space, IJPAM, 9(1), 2016, 45–50). We also show that different contractive type mappings exist in b-metric space.
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