Jahn, J.; Khan, A. A.; Zeilinger, P. Second-order optimality conditions in set optimization. (English) Zbl 1071.49015 J. Optimization Theory Appl. 125, No. 2, 331-347 (2005). Summary: In this paper, we propose second-order epiderivatives for set-valued maps. By using these concepts, second-order necessary optimality conditions and a sufficient optimality condition are given in set optimization. These conditions extend some known results in optimization. Cited in 47 Documents MSC: 49J52 Nonsmooth analysis 49J53 Set-valued and variational analysis Keywords:set optimization; second-order epiderivatives; optimality conditions PDFBibTeX XMLCite \textit{J. Jahn} et al., J. Optim. Theory Appl. 125, No. 2, 331--347 (2005; Zbl 1071.49015) Full Text: DOI References: [7] Cambini A. and Martein L. First and Second Order Optimality Conditions in Vector Optimization Preprint Department of Statistics and Applied Mathematics University of Pisa 2000. · Zbl 1012.49022 [14] Luc D.T. Theory of Vector Optimization Lecture Notes in Economics and Mathematical Sciences Springer Berlin Germany Vol. 319 1988. [20] Mordukhovich B.S. Sensitivity Analysis in Nonsmooth Optimization Theoretical Aspects of Industrial Design Edited by D. A. Filed and V. Komkov SIAM Proceedings in Applied Mathematics Vol. 58 pp. 32-46 1992. · Zbl 0769.90075 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.