A note on duality in reverse convex optimization

In this note we explore duality in reverse convex optimization with reverse convex inequality constraints. While we are examining the special case of a finite index set of inequality constraints, we are primarily interested in the general case of an arbitrary infinite index set with neither extra to...

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Bibliographic Details
Published in:Optimization Vol. 73; no. 12; pp. 3643 - 3651
Main Author: Gwinner, Joachim
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 01.12.2024
Taylor & Francis LLC
Subjects:
Constraints
Convexity
duality
infinite constraints
Optimization
regularization
Reverse convex programming
ISSN:0233-1934, 1029-4945
Online Access:Get full text
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Summary:In this note we explore duality in reverse convex optimization with reverse convex inequality constraints. While we are examining the special case of a finite index set of inequality constraints, we are primarily interested in the general case of an arbitrary infinite index set with neither extra topological structure nor extra measure structure.
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2024.2304296