Second-order symmetric duality in multiobjective programming

A pair of second-order symmetric dual models for multiobjective nonlinear programming is proposed in this paper. We prove the weak, strong, and converse duality theorems for the formulated second-order symmetric dual programs under invexity conditions.

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Bibliographic Details
Published in:	Applied mathematics letters Vol. 14; no. 5; pp. 587 - 592
Main Authors:	Yang, Xin-Min, Hou, Shui-Hung
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01.07.2001 Elsevier
Subjects:	Applied sciences Duality theorems Exact sciences and technology Invexity Mathematical programming Nonlinear multiobjective programming Operational research and scientific management Operational research. Management science Second-order symmetric dual models Second-order symmetric dual models Duality theorems Nonlinear multiobjective programming Invexity Duality Non linear programming Multiobjective programming Mathematical programming Symmetry
ISSN:	0893-9659, 1873-5452
Online Access:	Get full text
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Summary:	A pair of second-order symmetric dual models for multiobjective nonlinear programming is proposed in this paper. We prove the weak, strong, and converse duality theorems for the formulated second-order symmetric dual programs under invexity conditions.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/S0893-9659(00)00198-1