SOME FIXED POINT THEOREMS VIA ASYMPTOTIC REGULARITY

Sayantan Panja, Kushal Roy, Mantu Saha, Ravaindra Kishor Bisht

Abstract


In this article, we introduce some generalized contractive mappings over
a metric space as extension of various contractive mappings given by Kannan, Hardy-Rogers and Gornicki. 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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