Best proximity point for weak cyclic Kannan type $F-$contraction map and cyclic Chatterjea type $F-$contraction map
DOI:
https://doi.org/10.23755/rm.v51i0.1410Keywords:
weak cyclic Kannan type $F-$contraction, cyclic Chatterjea type $F-$contraction, cyclic Chatterjea type contraction, Kannan type cyclic contraction, $F-$contraction, best proximity point.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.References
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