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Error bounds for set inclusions
Authors:Xiyin?Zheng  author-information"  >  author-information__contact u-icon-before"  >  mailto:xyzheng@ynu.edu.cn"   title="  xyzheng@ynu.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:Department of Mathematics, Yunnan University, Kunming 650091, China
Abstract:A variant of Robinson-Ursescu Theorem is given in normed spaces. Several error bound theorems for convex inclusions are proved and in particular a positive answer to Li and Singer's conjecture is given under weaker assumption than the assumption required in their conjecture. Perturbation error bounds are also studied. As applications, we study error bounds for convex inequality systems.
Keywords:error bound   metrical regularity   convex multifunction   recession cone   normed space.
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