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ON THE UNIFORM CONTINUITY OF METRIC PROJECTIONS IN BANACH SPACES

ON THE UNIFORM CONTINUITY OF METRIC PROJECTIONS IN BANACH SPACES

作     者:Xu Zongben G.F.Roach 

作者机构:Department of Mathematics Xi'an Jiaotong University Xi'an 710049 PRCDepartment of Mathematics University of Strathelyde Glasgow U.K 

出 版 物:《Analysis in Theory and Applications》 (分析理论与应用(英文刊))

年 卷 期:1992年第8卷第3期

页      面:11-20页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Banach Space Nonexpansive Mapping Real Banach Space Convex Banach Space Smooth Banach Space 

摘      要:Let M be a convex Chebyshev subset of a uniformly convex and uniformly smooth Banach *** is proved that the metric projection P_M of X onto M is uniformly continu- ous on every bounded subset of ***,a global and explicit estimate on the modulus of continuity of the metric projection is obtained.

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