A FIXED POINT THEOREM FOR MULTIVALUED NONEXPANSIVE MAPPINGS IN BANACH SPACES OF NORMAL STRUCTURE

解基培 · Acta Scientiarum Naturalium Universitatis Sunyatseni · 1990

Since the appearance of T. C. Lim’s fixed point theorem for multivalued nonexpansive mappings in uniformly convex spaces in 1974, various generalizations and modifications have been obtained (e.g. [2, 3] and other references in [4, 5]). However, the corresponding fixed point problem for Banach spaces of normal structure remains open. The present report shall give a positive answer to it.

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