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

PIAO Yong-jie

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

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 2: 187 - 193

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.02.009

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

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College of Science, Yanbian University

PIAO Yong-jie(1962-), male(Chouxianzu), native of Jiutai, Jilin, a professor of Yanbian University, Ph.D., engages in nonlinear analysis and space theory.

Received date: 2015-03-11

Online published: 2020-10-23

Supported by

Supported by the National Natural Science Foundation of China(11361064)；

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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

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

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