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Diametrically contractive maps and fixed points
Fixed Point Theory and Applications volume 2006, Article number: 79075 (2006)
Contractive maps have nice properties concerning fixed points; a big amount of literature has been devoted to fixed points of nonexpansive maps. The class of shrinking (or strictly contractive) maps is slightly less popular: few specific results on them (not applicable to all nonexpansive maps) appear in the literature and some interesting problems remain open. As an attempt to fill this gap, a condition half way between shrinking and contractive maps has been studied recently. Here we continue the study of the latter notion, solving some open problems concerning these maps.
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Baronti, M., Casini, E. & Papini, P.L. Diametrically contractive maps and fixed points. Fixed Point Theory Appl 2006, 79075 (2006). https://doi.org/10.1155/FPTA/2006/79075
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