Best proximity point for weak cyclic Kannan type $F-$contraction map and cyclic Chatterjea type $F-$contraction map

Satyaj Tiwari, Monika Dewangan

Abstract


In this paper, we introduce an innovative category of contractions termed "cyclic Chatterjea type $F-$contraction" and "weak cyclic Kannan type $F-$contraction." Subsequently, we establish a theorem for determining the best proximity point in a uniformly convex Banach space, specifically focusing on weak cyclic Kannan type $F-$contractions. Furthermore, we extend our investigation to include cyclic Chatterjea type $F-$contractions in uniformly convex Banach spaces. To support our findings, we present illustrative examples.

Keywords


weak cyclic Kannan type $F-$contraction, cyclic Chatterjea type $F-$contraction, cyclic Chatterjea type contraction, Kannan type cyclic contraction, $F-$contraction, best proximity point.

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References


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DOI: http://dx.doi.org/10.23755/rm.v51i0.1410

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