Calculus of directional coderivatives and normal cones in Asplund spaces |
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| Authors: | Pujun Long Bingwu Wang Xinmin Yang |
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| Affiliation: | 1.School of Mathematical Sciences,Inner Mongolia University,Hohhot,People’s Republic of China;2.Department of Mathematics,Eastern Michigan University,Ypsilanti,USA;3.College of Mathematical Sciences,Chongqing Normal University,Chongqing,People’s Republic of China |
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| Abstract: | ![]()
We study the directional Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings in Asplund spaces and establish extensive calculus results on these constructions under various operations of sets and mappings. We also develop calculus of the directional sequential normal compactness both in general Banach spaces and in Asplund spaces. |
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