Generalized arcwise-connected functions and characterizations of local-global minimum properties

M. Avriel, I. Zang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, new classes of generalized convex functions are introduced, extending the concepts of quasi-convexity, pseudoconvexity, and their associate subclasses. Functions belonging to these classes satisfy certain local-global minimum properties. Conversely, it is shown that, under some mild regularity conditions, functions for which the local-global minimum properties hold must belong to one of the classes of functions introduced.

Original languageEnglish
Pages (from-to)407-425
Number of pages19
JournalJournal of Optimization Theory and Applications
Volume32
Issue number4
DOIs
StatePublished - Dec 1980

Keywords

  • Generalized convexity
  • global minimality
  • nonconvex programming
  • nonlinear programming
  • optimization theorems

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