Second order symmetric duality in mathematical programming with F-convexity

Under second order F-convexity F-concavity and second order F-pseudoconvexity F-pseudoconcavity, appropriate second order duality results for pair of Wolfe and Mond–Weir type second order symmetric dual nonlinear programming problems are established. These second order duality results are then used...

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Bibliographic Details
Published inEuropean journal of operational research Vol. 127; no. 3; pp. 507 - 518
Main Author Mishra, S.K.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 16.12.2000
Elsevier
Elsevier Sequoia S.A
SeriesEuropean Journal of Operational Research
Subjects
F-convexity
Integer programming
Mathematical programming
Minimax
Mixed integer programming
Operations research
Self-duality
Studies
Symmetric duality
Minimax
Mixed integer programming
Symmetric duality
F-convexity
Self-duality
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Summary:Under second order F-convexity F-concavity and second order F-pseudoconvexity F-pseudoconcavity, appropriate second order duality results for pair of Wolfe and Mond–Weir type second order symmetric dual nonlinear programming problems are established. These second order duality results are then used to formulate Wolfe type and Mond–Weir type second order minimax mixed integer dual programs and symmetric duality theorem is established under separability and second order F-convexity F-concavity of the kernel function f( x, y). Second order symmetric dual fractional mixed integer programs are studied using the above programs. Moreover, second order self-duality theorems for the above pairs are obtained assuming f( x, y) to be skew symmetric.
ISSN:0377-2217
1872-6860
DOI:10.1016/S0377-2217(99)00334-3