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On Semi-Infinite Optimization Problems with Vanishing Constraints Involving Interval-Valued Functions.
- Source :
- Mathematics (2227-7390); Apr2024, Vol. 12 Issue 7, p1008, 19p
- Publication Year :
- 2024
-
Abstract
- In this paper, we examine a semi-infinite interval-valued optimization problem with vanishing constraints (SIVOPVC) that lacks differentiability and involves constraints that tend to vanish. We give definitions of generalized convex functions along with supportive examples. We investigate duality theorems for the SIVOPVC problem. We establish these theorems by creating duality models, which establish a relationship between SIVOPVC and its corresponding dual models, assuming generalized convexity conditions. Some examples are also given to illustrate the results. [ABSTRACT FROM AUTHOR]
- Subjects :
- CONVEX functions
SET-valued maps
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 176593788
- Full Text :
- https://doi.org/10.3390/math12071008