Research on constraint qualification and solution method for set optimization programming
| Project/Area Number |
22540133
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Shimane University |
|---|
Principal Investigator |
KUROIWA Daishi 島根大学, 総合理工学研究科, 教授 (40284020)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
TANAKA Tamaki 新潟大学, 自然科学系, 教授 (10207110)
YAMAUCHI Takamitsu 島根大学, 総合理工学研究科, 講師 (00403444)
MATSUSHITA Shin-ya 秋田県立大学, システム科学技術学部, 助教 (20435449)
|
|---|
| Project Period (FY) |
2010 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
|---|
| Keywords | 集合値最適化 / 微分概念 / 多目的最適化 / 数理計画法 / 集合値計画法 / 埋め込み / 制約想定 / 双対理論 / 相対理論 |
|---|
| Research Abstract |
We study constraint qualification for optimization problems whose objective maps are set-valued maps based on criteria called `set optimization.’ We propose certain constraint qualifications for set optimization problems including a set optimization problem whose objective and constraint functions are set -valued convex functions. Also we study solution methods for well-posed set optimization problems.
|
Report
(4 results)
Research Products
(47 results)
