Convex Optimization on Mixed Domains
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Date
2012
Authors
Adıvar, Murat
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Mathematical Sciences-Aims
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Abstract
This paper aims to study convex analysis on some generalized domains, in particular, the domain of the product of closed subsets of reals. We introduce the basic concepts and derive analytic properties regarding convex subsets of mixed domains and convex functions defined on convex sets in mixed domains. The results obtained may open an avenue for modeling and solving a new type of optimization problems that involve both discrete and continuous variables at the same time.
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ORCID
Keywords
Continuous optimization, convexity, convex optimization, discrete optimization, generalized convexity, subgradient, time scales, Dynamic Equations, Time Scales, Existence, generalized convexity, Convex programming, convex optimization, convexity, time scales, continuous optimization, subgradient, Numerical mathematical programming methods, Nonlinear programming, Optimization problems in thermodynamics and heat transfer, discrete optimization
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, 0101 mathematics
Citation
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
8
Source
Journal of Industrıal And Management Optımızatıon
Volume
8
Issue
1
Start Page
189
End Page
227
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CrossRef : 5
Scopus : 10
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