Yu, Wei; Cao, Jun; Zhang, Fuyuan; Li, Gaoxi Optimality conditions and duality in optimization with generalized arcwise connectivity over convex cones. (Chinese. English summary) Zbl 1363.90274 Math. Pract. Theory 46, No. 3, 232-237 (2016). Summary: In this paper optimality conditions on strong efficient solution and Benson proper efficient solution in optimization with arcwise connectivity over cones were given. We discussed the optimality conditions on approximate solution in optimization under which both object function and constraint function are generalized arcwise connectivity convex cones. An approximate Mond-Weir type dual problem was formulated, weak duality and converse duality theorems were established. MSC: 90C46 Optimality conditions and duality in mathematical programming 90C25 Convex programming Keywords:arcwise connectivity; strong efficient solution; Benson proper efficient solution; approximate Mond-Weir-type dual PDFBibTeX XMLCite \textit{W. Yu} et al., Math. Pract. Theory 46, No. 3, 232--237 (2016; Zbl 1363.90274)