ON NORMAL STRUCTURE , FIXED POINT PROPERTY AND CONTRACTIONS OF TYPE ( y )

@inproceedings{Khamsi2010ONNS,
  title={ON NORMAL STRUCTURE , FIXED POINT PROPERTY AND CONTRACTIONS OF TYPE ( y )},
  author={M. A. Khamsi},
  year={2010}
}
We prove that a Banach space X has normal structure provided it contains a finite codimensional subspace Y such that all spreading models for Y have normal structure. We show that a Banach space X is strictly convex if the set of fixed points of any nonexpansive map defined in any convex subset C C X is convex and give a sufficient condition for uniform convexity of a space in terms of nonexpansive map of type (y). 

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