Approximately midconvex set-valued functions
Author:
, , ,Year
: 2014
Abstract: We will show that if $F$ is a set-valued mapping which satisfies $$ F(x) + F(y) \\\\\\\\\\\\\\\\subseteq 2F\\\\\\\\\\\\\\\\Big(\\\\\\\\\\\\\\\\frac{x+y}2\\\\\\\\\\\\\\\\Big)+ K $$ for some convex compact set $K$, then under some restrictions, there are maximal superadditive and midconvex mappings which are $K$-subclose to $F$.
Keyword(s): Set-valued mappings,superadditive map,midconvex map
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Approximately midconvex set-valued functions
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| contributor author | سیدعلیرضا کامل میر مصطفائی | en |
| contributor author | مصطفی مهدوی | en |
| contributor author | Seyyed Alireza Kamel Mirmostafaee | fa |
| contributor author | mostafa mahdavi | fa |
| date accessioned | 2020-06-06T13:09:09Z | |
| date available | 2020-06-06T13:09:09Z | |
| date issued | 2014 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3343637 | |
| description abstract | We will show that if $F$ is a set-valued mapping which satisfies $$ F(x) + F(y) \\\\\\\\\\\\\\\\subseteq 2F\\\\\\\\\\\\\\\\Big(\\\\\\\\\\\\\\\\frac{x+y}2\\\\\\\\\\\\\\\\Big)+ K $$ for some convex compact set $K$, then under some restrictions, there are maximal superadditive and midconvex mappings which are $K$-subclose to $F$. | en |
| language | English | |
| title | Approximately midconvex set-valued functions | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Set-valued mappings | en |
| subject keywords | superadditive map | en |
| subject keywords | midconvex map | en |
| journal title | Bulletin of the Malaysian Mathematical Sciences Society | fa |
| pages | 525-530 | |
| journal volume | 2 | |
| journal issue | 37 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1029395.html | |
| identifier articleid | 1029395 |