Ekeland, Ivar Nonconvex duality. (English) Zbl 0414.49014 Bull. Soc. Math. Fr., Suppl., Mém. 60 (Proc. Colloq., Pau 1977), 45-55 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 49K27 Optimality conditions for problems in abstract spaces 44A15 Special integral transforms (Legendre, Hilbert, etc.) 49J45 Methods involving semicontinuity and convergence; relaxation Keywords:legendre transform; extremization problem; dual extremization problem PDFBibTeX XMLCite \textit{I. Ekeland}, Bull. Soc. Math. Fr., Suppl., Mém. 60, 45--55 (1979; Zbl 0414.49014) Full Text: Numdam EuDML References: [1] I. EKELAND : ”On the variational principle” . J. Math. An. Appl. 47 ( 1974 ) p.324-353. MR 49 #11344 | Zbl 0286.49015 · Zbl 0286.49015 · doi:10.1016/0022-247X(74)90025-0 [2] I. EKELAND and R. TEMAM : ”Convex analysis and variational problems” . North-Holland - Elsevier, 1976 . MR 57 #3931b | Zbl 0322.90046 · Zbl 0322.90046 [3] I. EKELAND : ”Duality in non-convex optimization and the calculus of variations” . SIAM J. Opt. Control, 15 ( 1977 ), p. 905-934. MR 56 #16681 | Zbl 0377.90089 · Zbl 0377.90089 · doi:10.1137/0315058 [4] J.F. TOLAND : ”Duality in non-convex optimisation” , University of Essex ; Fluid Mechanics Research Institute, Report n^\circ 78, Decembre 1976 . [5] J.F. TOLAND : ”On the stability of rotating heavy chains” . University of Essex, Fluid Mechanics Research Institute, Report N^\circ 82, May 1977 . · Zbl 0372.49016 [6] R. T. ROCKAFELLAR : ”Convex analysis” , Princeton University Press, 1970 . MR 43 #445 | Zbl 0193.18401 · Zbl 0193.18401 [7] F. CLARKE : ”Generalized gradients and applications” , Transactions AMS 205, 1975 , p.247-262. MR 51 #3373 | Zbl 0307.26012 · Zbl 0307.26012 · doi:10.2307/1997202 [8] F. CLARKE : ”Generalized gradients of Lipschitz functionals” , Mathematics of Operations Research, to appear. · Zbl 0463.49017 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.