Existence theorem and optimality conditions for a class of convex semi-infinite problems with noncompact index sets

The paper is devoted to study of a special class of semi-infinite problems arising in nonlinear parametric Semi-infinite Programming, when the differential properties of the solutions are being studied. These problems are convex and possess noncompact index sets. In the paper, we present conditions...

Full description

Saved in:
Bibliographic Details
Published in:Statistics, optimization & information computing optimization & information computing, 2017, Vol.5 (4), p.278
Main Authors: Kostyukova, Olga, Tchemisova, Tatiana, Kurdina, Maryia
Format: Article
Language:English
Subjects:
Existence theorems
Mathematical problems
Nonlinear programming
Optimality criteria
Optimization
Theorems
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The paper is devoted to study of a special class of semi-infinite problems arising in nonlinear parametric Semi-infinite Programming, when the differential properties of the solutions are being studied. These problems are convex and possess noncompact index sets. In the paper, we present conditions guaranteeing the existence of optimal solutions, and prove new optimality criterion. An example illustrating the obtained results is presented.
ISSN:2311-004X
2310-5070
DOI:10.19139/soic.v5i4.362