On the Generalized Nonexpansive Maps
Received:October 28, 1981  
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Zhang Chuanyi Harbin Institute of Electrical Technology 
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Abstract:
      In this note, we consider two kinds of map, generalized nonexpansive maps, and get following results.1 The map T: X→X, X weakly compact convex set in a Banach space, satisfying (1) and asymptotic normal condition, then there exist a fixed point in X.2 The map T:X→X is continuous and satisfies (2), where X is the same as, above, then r has an unigue fixed point in X.An example is given to show that the continuity can't be set aside;
Citation:
DOI:10.3770/j.issn:1000-341X.1984.03.011
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