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http://dx.doi.org/10.4134/CKMS.c180382

A REMARK ON CONVERGENCE THEORY FOR ITERATIVE PROCESSES OF PROINOV CONTRACTION  

Bisht, Ravindra K. (Department of Mathematics National Defence Academy)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.4, 2019 , pp. 1157-1162 More about this Journal
Abstract
In this paper, we extend the study of general convergence theorems for the Picard iteration of Proinov contraction from the class of continuous mappings to the class of discontinuous mappings. As a by product we provide a new affirmative answer to the open problem posed in [20].
Keywords
fixed point; ${\varphi}$-contraction; Proinov contraction; k-continuity;
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