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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Bibliographic Details
Published in:Journal of inequalities and applications Vol. 2015; no. 1; pp. 1 - 12
Main Authors: Debnath, Indira P, Gupta, Shiv K, Kumar, Sumit
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 06.01.2015
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2015-3