A remark on convergence theory for iterative processes of Proinov contraction
Commun. Korean Math. Soc.
Published online March 5, 2019
Ravindra Kishor Bisht
NDA Pune
Abstract : In this paper, we extend the study of general convergence theorems for the Picard iteration of Proinov contraction from the class of continuous mapping to a class of discontinuous mappings. As a by product we provide a new affirmative answer to the open problem posed in Contemporary Mathematics 72(1988), 233-245.
Keywords : Fixed point, $\verpsi$-contraction, Proinov contraction, $k-$continuity
MSC numbers : 47H09, 54E50
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