Symmetric duality for a higher-order nondifferentiable multiobjective programming problem

In this paper, a pair of Wolfe type higher-order nondifferentiable symmetric dual programs over arbitrary cones has been studied and then well-suited duality relations have been established considering K - F convexity assumptions. An example which satisfies the weak duality relation has also been de...

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Vydáno v:Journal of inequalities and applications Ročník 2015; číslo 1; s. 1 - 12
Hlavní autoři: Debnath, Indira P, Gupta, Shiv K, Kumar, Sumit
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 06.01.2015
Springer Nature B.V
Témata:
Analysis
Applications of Mathematics
Cones
Convexity
Inequalities
Mathematical programming
Mathematics
Mathematics and Statistics
Multiple objective
Symmetry
multiobjective programming
efficient solutions
support function
symmetric duality
higher-order
-
convexity
ISSN:1029-242X, 1025-5834, 1029-242X
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Shrnutí:In this paper, a pair of Wolfe type higher-order nondifferentiable symmetric dual programs over arbitrary cones has been studied and then well-suited duality relations have been established considering K - F convexity assumptions. An example which satisfies the weak duality relation has also been depicted. MSC: 90C29, 90C30, 49N15.
Bibliografie:SourceType-Scholarly Journals-1
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2015-3