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An Improvement of Existence Theorems of Additive Selection Maps for Sub-additive Set-valued Maps

An Improvement of Existence Theorems of Additive Selection Maps for Sub-additive Set-valued Maps
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摘要 In this paper, we will construct a new class of subadditive set-valued maps and use Cantor theorem to prove that the set-valued map has an unique additive selection map when the set-valued map satisfies some certain conditions, and then compare the obtained result with the well-known results. In this paper, we will construct a new class of subadditive set-valued maps and use Cantor theorem to prove that the set-valued map has an unique additive selection map when the set-valued map satisfies some certain conditions, and then compare the obtained result with the well-known results.
作者 PIAO Yong-jie
机构地区 College of Science
出处 《Chinese Quarterly Journal of Mathematics》 2017年第2期187-193,共7页 数学季刊(英文版)
基金 Supported by the National Natural Science Foundation of China(11361064)
关键词 additive selection map sub-additive CONE additive selection map sub-additive cone
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