CONJUGATE RELATIONS AND WEAK SUBDIFFERENTIALS OF RELATIONS.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The duality theory for convex programs is based on a concept ″conjugate″ of functions, and the set of solutions is characterized by ″subdifferential″ of a function. The purpose of this study is to extend the concepts ″conjugate″ and ″subdifferential″ to those of set-valued functions (relations) and to investigate their properties.

Original languageEnglish
Pages (from-to)593-607
Number of pages15
JournalMathematics of Operations Research
Volume6
Issue number4
DOIs
Publication statusPublished - Jan 1 1981
Externally publishedYes

Fingerprint

Subdifferential
Set-valued Function
Convex Program
Duality Theory
Concepts
Duality theory

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Computer Science Applications
  • Management Science and Operations Research

Cite this

CONJUGATE RELATIONS AND WEAK SUBDIFFERENTIALS OF RELATIONS. / Kawasaki, Hidefumi.

In: Mathematics of Operations Research, Vol. 6, No. 4, 01.01.1981, p. 593-607.

Research output: Contribution to journalArticle

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