XU , Hong-Kun

Convergence of fixed point sets of multivalued nonexpansive mappings is studied under both the Mosco and Hausdorff senses. A characterization for *- nonexpansive multivalued mappings is given. Also a counterexample is constructed to show a negative answer to a question raised by A. Canbtti, G. Marino and P. Pibtramala.

The space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp norm and x + and x- are the positive and negative. parts of x, respectively. Bynum used lp,1 and Smith and Turett used 12,1 to show that neither normal structure nor uniform normal structure is a self dual property for Banach...

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