Examples of Fixed Point Free Mappings
نویسنده
چکیده
If X is the dual space of a given Banach space E , X = E*, we say that X has the weak* fixed point property (w*-fpp) if for every nonempty weak* compact (that is, cr(X, E)-co~npact) convex subset C of X and every nonexpansive mapping T : C + C we have Fix(T) # 0. Which subsets of X are weak* compact depends on the choice of pre-dual. Thus, when discussing the w*-fpp it is important that we have a specific pre-dual E in mind.
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