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- W2034237697 abstract "Let D be an open convex bounded subset of a complex Banach space $(X,left | cdot right |)$, and let C be the union of a finite number of closed convex sets lying strictly inside D. Using the Kuratowski measure of noncompactness with respect to the Kobayashi distance in D, we first show that if $f:D to D$ is a holomorphic mapping which leaves C invariant, and if the Lefschetz number $lambda ({f_{|C}}) ne 0$, then $inf { left | {x - f(x)} right |:x in C} = 0$. We then deduce several new fixed point theorems for holomorphic and nonexpansive mappings." @default.
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- W2034237697 date "1994-02-01" @default.
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- W2034237697 title "Minimal displacement of points under holomorphic mappings and fixed point properties for unions of convex sets" @default.
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