ON THE UNIFORM CONTINUITY OF METRIC PROJECTIONS IN BANACH SPACES
ON THE UNIFORM CONTINUITY OF METRIC PROJECTIONS IN BANACH SPACES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.