Abstract
We construct Mond-Weir and Wolfe types of nondifferentiable multiobjective second order symmetric dual problems with cone constraints over arbitrary closed convex cones. Weak, strong, and converse duality theorems for weakly efficient solutions are established under the assumptions of second order invex and pseudo-invex functions. Several known results are obtained as special cases of our symmetric duality.
Citation
Do Sang Kim. Hun Suk Kang. Yu Jung Lee. "SECOND ORDER SYMMETRIC DUALITY FOR NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING INVOLVING CONES." Taiwanese J. Math. 12 (6) 1347 - 1363, 2008. https://doi.org/10.11650/twjm/1500405030
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