Explicitly B-preinvex functions

Xin Min Yang, Xiaoqi Yang, Kok Lay Teo

Research output: Journal article publicationJournal articleAcademic researchpeer-review

12 Citations (Scopus)

Abstract

This paper introduces a new class of functions, to be referred to as explicitly B-preinvex functions. Some properties of explicity B-preinvex functions are established, e.g., any local minimum of an explicitly B-preinvex function is also a global one and the summation of two functions, which are both B-preinvex and explicitly B-preinvex, is also a B-preinvex function and an explicitly B-preinvex function. Furthermore, it is shown that the explicit B-preinvexity, together with the intermediate-point B-preinvexity, implies B-preinvexity, while the explicit B-preinvexity, together with a lower semicontinuity, implies the B-preinvexity.
Original languageEnglish
Pages (from-to)25-36
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume146
Issue number1
DOIs
Publication statusPublished - 1 Sep 2002

Keywords

  • B-preinvex functions
  • Explicitly B-preinvex functions
  • Lower semicontinuity

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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