Abstract
In this article, we introduce some generalized contractive mappings over a metric space as extensions of various contractive mappings given by Kannan, Ciric, Proinov and G?rnicki. Some fixed point theorems have been proved for such new contractive type mappings via asymptotic regularity and some weaker versions of continuity. Supporting examples have been given in strengthening the hypothesis of our established theorems. As a by-product we explore some new answers to the open question posed by Rhoades.
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