Renormings of c
      0
      and the minimal displacement problem

Łukasz Piasecki

Displaying similar documents to “ Renormings of c 0 and the minimal displacement problem ”

A remark on the minimal displacement problem in spaces uniformly rotund in every direction

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Commentationes Mathematicae Universitatis Carolinae

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We give an example of uniformly rotund in every direction space for which the minimal displacement characteristic is maximal.

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We give a lower bound for the minimal displacement characteristic in the space l ∞.

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Fixed points of a certain class of mappings in spaces with uniformly normal structure.

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A note on Picard iterates of nonexpansive mappings

Eun Suk Kim, W. A. Kirk (2001)

Annales Polonici Mathematici

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Let X be a Banach space, C a closed subset of X, and T:C → C a nonexpansive mapping. It has recently been shown that if X is reflexive and locally uniformly convex and if the fixed point set F(T) of T has nonempty interior then the Picard iterates of the mapping T always converge to a point of F(T). In this paper it is shown that if T is assumed to be asymptotically regular, this condition can be weakened much further. Finally, some observations are made about the geometric conditions...