Some characterizations of φ-Lagrangian dual problems

References

• Aubin , J.P. and Ekeland , I. 1976 . Estimates of the duality gap in nonconvex optimization . Math. of Oper. Res , 1 : 225 – 245 .
   Google Scholar
• Balder , E.J. 1977 . An extension of duality-stability relations to nonconvex optimization problems . SIAM J. Control Optim , 15 : 329 – 343 .
   Web of Science ®Google Scholar
• Dolecki , S. and Kurcyusz , S. 1978 . On φ-convexity in extremal problems . SIAM J. Control Optim , 16 : 277 – 300 .
   Web of Science ®Google Scholar
• Lindberg , P.O. 1979 . “ A generalization of FENCHEL conjugation giving generalized Lagrangians and symmetric nonconvex duality ” . In Survey of Mathematical Programming , Edited by: Prékopa , A. Vol. I , 249 – 267 . Amsterdam : North-Holland .
   Google Scholar
• Moreau , J.J. 1977 . “ Fonctionnelles con vexes ” . In Semin. Eq. Deri v , Paris : Part. College de France .
   Google Scholar
• Martinez-Legaz J.-E Singer I. A characterization of Lagrangian dual problems to appear
   Google Scholar
• Singer L. Conjugation operators Selected Topics in Operations Research and Mathematical Economics Hammer G. Pallaschke D Springer-Verlag Berlin 1984 226 80 97 Lecture Notes in Econ. and Math. Systems Heidelberg, New York, Tokyo
   Google Scholar
• Singer , I. 1986 . A general theory of dual optimization problems . J. Math. Anal Appl , 116 : 77 – 130 .
   Web of Science ®Google Scholar
• Singer , I. 1989 . Some relations between combinatorial min-max equalities and Langrangian duality, via coupling functions. I:Cardinality results . Rev. roumaine math, pures appl , 34 : 455 – 491 .
   Google Scholar
• Singer , I. 1989 . Some relations between combinatorial min-max equalities and Lagrangian duality, via coupling functions. II:Further results . Rev. roumaine math, pures appl , 34 : 661 – 692 .
   Google Scholar