张传义.关于几类推广的非膨胀映像[J].数学研究及应用,1984,4(3):55~58
关于几类推广的非膨胀映像
On the Generalized Nonexpansive Maps
投稿时间:1981-10-28  
DOI:10.3770/j.issn:1000-341X.1984.03.011
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张传义 哈尔滨电工学院 
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      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;
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