Affordable Access

Access to the full text

Global Optimization of the Difference of two Increasing Plus-Convex-Along-Rays Functions

Authors
  • Shahriaripour, H.1
  • Mohebi, H.2
  • 1 Graduate University of Advanced Technology, Kerman, Iran , Kerman (Iran)
  • 2 Shahid Bahonar University of Kerman, Kerman, Postal Code: 7616914111, Iran , Kerman (Iran)
Type
Published Article
Journal
Acta Mathematica Scientia
Publisher
Springer-Verlag
Publication Date
Oct 10, 2020
Volume
40
Issue
6
Pages
1849–1873
Identifiers
DOI: 10.1007/s10473-020-0615-6
Source
Springer Nature
Keywords
License
Yellow

Abstract

The theory of increasing and convex-along-rays (ICAR) functions defined on a convex cone in a real locally convex topological vector space X was already well developed. In this paper, we first examine abstract convexity of increasing plus-convex-along-rays (IPCAR) functions defined on a real normed linear space X. We also study, for this class of functions, some concepts of abstract convexity, such as support sets and subdifferentials. Finally, as an application, we characterize the maximal elements of the support set of strictly IPCAR functions and give optimality conditions for the global minimum of the difference between two IPCAR functions.

Report this publication

Statistics

Seen <100 times