Mishra, S. K.; Giorgi, G.; Wang, S. Y. Duality in vector optimization in Banach spaces with generalized convexity. (English) Zbl 1119.90049 J. Glob. Optim. 29, No. 4, 415-424 (2004). In this paper, nonconvex vector optimization is considered in Banach spaces. Under type-I invexity assumptions sufficient optimality conditions for weak Pareto optimality are provided and weak and strong duality results for a nondifferentiable dual are formulated. Reviewer: Kaisa Miettinen (Helsinki) Cited in 13 Documents MSC: 90C29 Multi-objective and goal programming 90C46 Optimality conditions and duality in mathematical programming 49K27 Optimality conditions for problems in abstract spaces 90C48 Programming in abstract spaces Keywords:duality; type-I functions; vector optimization; optimality conditions; nonsmooth programming PDFBibTeX XMLCite \textit{S. K. Mishra} et al., J. Glob. Optim. 29, No. 4, 415--424 (2004; Zbl 1119.90049) Full Text: DOI