Saddle Values of Vector-Valued Functions
| Title: | Saddle Values of Vector-Valued Functions |
|---|---|
| Authors: | Masakazu Tanaka; Relationship Among Minimax |
| Contributors: | The Pennsylvania State University CiteSeerX Archives |
| Source: | http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/42696/1/1298_22.pdf. |
| Collection: | CiteSeerX |
| Subject Terms: | Minimax problem; minimax and maximin values; saddle point |
| Description: | In this paper, we consider minimax problems for avector-valued function, which are the following questions: If we give reasonable definitions for minimax and maximin values of avector-valued function in an ordered vector space, what minimax equation or inequality holds? Also, if we give asuitable definition for saddle points of avector-valued function, what re-lationship holds among such minimax, maximin and saddle values? We will give interesting answers to such questions and introduce arecent problem in minimax problems in this paper. |
| Document Type: | text |
| File Description: | application/pdf |
| Language: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.580.9857 |
| Availability: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.580.9857; http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/42696/1/1298_22.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: | edsbas.4443D731 |
| Database: | BASE |