次可加集值映射的可加选择映射的存在性定理的改进

doi:10.13371/j.cnki.chin.q.j.m.2017.02.009

数学季刊 ›› 2017, Vol. 32 ›› Issue (2): 187-193.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.009

次可加集值映射的可加选择映射的存在性定理的改进

College of Science, Yanbian University

收稿日期:2015-03-11 出版日期:2017-06-30 发布日期:2020-10-23
作者简介:PIAO Yong-jie(1962-), male(Chouxianzu), native of Jiutai, Jilin, a professor of Yanbian University, Ph.D., engages in nonlinear analysis and space theory.
基金资助:
Supported by the National Natural Science Foundation of China(11361064)；

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

College of Science, Yanbian University

Received:2015-03-11 Online:2017-06-30 Published:2020-10-23
About author:PIAO Yong-jie(1962-), male(Chouxianzu), native of Jiutai, Jilin, a professor of Yanbian University, Ph.D., engages in nonlinear analysis and space theory.
Supported by:
Supported by the National Natural Science Foundation of China(11361064)；

摘要/Abstract

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.

关键词: additive selection map, sub-additive, cone

Abstract: 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.

Key words: additive selection map, sub-additive, cone

中图分类号:

O189.11

朴勇杰. 次可加集值映射的可加选择映射的存在性定理的改进[J]. 数学季刊, 2017, 32(2): 187-193.

PIAO Yong-jie. An Improvement of Existence Theorems of Additive Selection Maps for Sub-additive Set-valued Maps[J]. Chinese Quarterly Journal of Mathematics, 2017, 32(2): 187-193.

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次可加集值映射的可加选择映射的存在性定理的改进

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

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