Karush–Kuhn–Tucker optimality conditions and duality for convex semi-infinite programming with multiple interval-valued objective functions

This paper deals with convex semi-infinite programming with multiple interval-valued objective functions. We first investigate necessary and sufficient Karush–Kuhn–Tucker optimality conditions for some types of optimal solutions. Then, we formulate types of Mond–Weir and Wolfe dual problems and expl...

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Vydané v:Journal of applied mathematics & computing Ročník 62; číslo 1-2; s. 67 - 91
Hlavný autor: Tung, Le Thanh
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2020
Springer Nature B.V
Predmet:
Applied mathematics
Computational Mathematics and Numerical Analysis
Convexity
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Nonlinear programming
Optimization
Original Research
Theory of Computation
Wolfe duality
90C46
Interval-valued objective functions
Mond–Weir duality
90C34
Karush–Kuhn–Tucker optimality conditions
Multiobjective convex semi-infinite programming
90C70
ISSN:1598-5865, 1865-2085
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Shrnutí:This paper deals with convex semi-infinite programming with multiple interval-valued objective functions. We first investigate necessary and sufficient Karush–Kuhn–Tucker optimality conditions for some types of optimal solutions. Then, we formulate types of Mond–Weir and Wolfe dual problems and explore duality relations under convexity assumptions. Some examples are provided to illustrate the advantages of our results in some cases.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-019-01274-x