Wang, Q. L.; Li, S. J.; Chen, C. R. Higher-order generalized adjacent derivative and applications to duality for set-valued optimization. (English) Zbl 1268.90081 Taiwanese J. Math. 15, No. 3, 1021-1036 (2011). Summary: A new notion of the higher-order generalized adjacent derivative for a set-valued map is defined. By virtue of the derivative, a higher-order Mond-Weir type dual problem is introduced for a constrained set-valued optimization problem. The weak duality, strong duality and converse duality theorems are established. Cited in 2 Documents MSC: 90C29 Multi-objective and goal programming 90C46 Optimality conditions and duality in mathematical programming Keywords:set-valued optimization; generalized higher-order adjacent set; higher-order adjacent derivative; weakly minimal solutions; higher-order Mond-Weir type duality PDFBibTeX XMLCite \textit{Q. L. Wang} et al., Taiwanese J. Math. 15, No. 3, 1021--1036 (2011; Zbl 1268.90081) Full Text: DOI