메뉴 건너뛰기




Volumn 11, Issue 1, 2000, Pages 31-52

Constraint qualifications for semi-infinite systems of convex inequalities

Author keywords

Constraint qualifications; Convex Farkas Minkowski systems; Distance formulas; Semi infinite inequality systems

Indexed keywords


EID: 0034550220     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623499355247     Document Type: Article
Times cited : (90)

References (19)
  • 1
    • 0002517759 scopus 로고
    • On the Kuhn-Tucker theorem
    • J. Abadie, ed., North-Holland, Amsterdam
    • J. ABADIE, On the Kuhn-Tucker theorem, in Nonlinear Programming, J. Abadie, ed., North-Holland, Amsterdam, 1967, pp. 19-36.
    • (1967) Nonlinear Programming , pp. 19-36
    • Abadie, J.1
  • 3
    • 0039967157 scopus 로고    scopus 로고
    • Locally Farkas-Minkowski systems in convex semi-infinite programming
    • M. D. FAJARDO AND M. A. LÓPEZ, Locally Farkas-Minkowski systems in convex semi-infinite programming, J. Optirn. Theory Appl., pp. 313-335.
    • J. Optirn. Theory Appl. , pp. 313-335
    • Fajardo, M.D.1    López, M.A.2
  • 4
    • 0010143617 scopus 로고
    • On systems of linear inequalities
    • H. W. Kuhn and A. W. Tucker, eds., Princeton University Press, Princeton, NJ
    • K. FAN, On systems of linear inequalities, in Linear Inequalities and Related Topics, H. W. Kuhn and A. W. Tucker, eds., Princeton University Press, Princeton, NJ, 1956, pp. 99-156.
    • (1956) Linear Inequalities and Related Topics , pp. 99-156
    • Fan, K.1
  • 6
    • 34250247808 scopus 로고
    • Farkas-Minkowski systems in semi-infinite programming
    • M. A. GOBERNA, M. A. LÓPEZ, AND J. PASTOR, Farkas-Minkowski systems in semi-infinite programming, Appl. Math. Optim., 7 (1981), pp. 295-308.
    • (1981) Appl. Math. Optim. , vol.7 , pp. 295-308
    • Goberna, M.A.1    López, M.A.2    Pastor, J.3
  • 8
    • 0041039237 scopus 로고
    • Application of a theorem of E. Helly in convex programming, problems of best approximation and related topics
    • in Russian
    • V. L. LEVIN, Application of a theorem of E. Helly in convex programming, problems of best approximation and related topics, Mat. Sb., 79 (1969), pp. 250-263, (in Russian).
    • (1969) Mat. Sb. , vol.79 , pp. 250-263
    • Levin, V.L.1
  • 9
    • 0002449351 scopus 로고    scopus 로고
    • Error bounds for convex inequality systems
    • J.-P. Crouzeix, J.-E. Martínez-Legaz, and M. Volle, eds., Kluwer Academic Publishers, Dordrecht, Boston
    • A. S. LEWIS AND J.-S. PANG, Error bounds for convex inequality systems, in Generalized Convexity, Generalized Monotonicity: Recent Results, J.-P. Crouzeix, J.-E. Martínez-Legaz, and M. Volle, eds., Kluwer Academic Publishers, Dordrecht, Boston, 1998, pp. 75-110.
    • (1998) Generalized Convexity, Generalized Monotonicity: Recent Results , pp. 75-110
    • Lewis, A.S.1    Pang, J.-S.2
  • 10
    • 0031285679 scopus 로고    scopus 로고
    • Abadie's constraint qualification, metric regularity, and error bounds for differentiable convex inequalities
    • W. LI, Abadie's constraint qualification, metric regularity, and error bounds for differentiable convex inequalities, SIAM J. Optim., 7 (1997), pp. 966-978.
    • (1997) SIAM J. Optim. , vol.7 , pp. 966-978
    • Li, W.1
  • 12
    • 0020943831 scopus 로고
    • Optimality conditions for nondifferentiable convex semi-infinite programming
    • M. A. LÓPEZ AND E. VERCHER, Optimality conditions for nondifferentiable convex semi-infinite programming, Math. Programming, 27 (1983), pp. 307-319.
    • (1983) Math. Programming , vol.27 , pp. 307-319
    • López, M.A.1    Vercher, E.2
  • 13
    • 3943111888 scopus 로고
    • Convex programming in a normed space
    • in Russian
    • B. N. PSHENICHNYI, Convex programming in a normed space, Kibernetika, 5 (1965), pp. 46-54, (in Russian).
    • (1965) Kibernetika , vol.5 , pp. 46-54
    • Pshenichnyi, B.N.1
  • 14
    • 0001068119 scopus 로고    scopus 로고
    • Locally Farkas-Minkowski linear inequality systems
    • R. PUENTE AND V. N. VERA DE SERIO, Locally Farkas-Minkowski linear inequality systems, Top, 7 (1999), pp. 103-121.
    • (1999) Top , vol.7 , pp. 103-121
    • Puente, R.1    Vera De Serio, V.N.2
  • 16
    • 0010885315 scopus 로고
    • The theory of best approximation and functional analysis
    • SIAM, Philadelphia, PA
    • I. SINGER, The Theory of Best Approximation and Functional Analysis, CBMS-NSF Regional Conf. Ser. in Appl. Math., 13, SIAM, Philadelphia, PA, 1974.
    • (1974) CBMS-NSF Regional Conf. Ser. in Appl. Math. , vol.13
    • Singer, I.1
  • 17
    • 0032164745 scopus 로고    scopus 로고
    • Duality for optimization and best approximation over finite intersections
    • I. SINGER, Duality for optimization and best approximation over finite intersections, Numer. Funct. Anal. Optim., 19 (1998), pp. 903-915.
    • (1998) Numer. Funct. Anal. Optim. , vol.19 , pp. 903-915
    • Singer, I.1
  • 18
    • 0039401827 scopus 로고
    • Sous-différentiels d'une borne supérieure et d'une somme continue de fonctions convexes
    • M. VALADIER, Sous-différentiels d'une borne supérieure et d'une somme continue de fonctions convexes, CRAS Paris, 266 (1968), pp. 14-16.
    • (1968) CRAS Paris , vol.266 , pp. 14-16
    • Valadier, M.1
  • 19
    • 0001793982 scopus 로고
    • Generalizations of some fundamental theorems in linear inequalities
    • Y.-J. ZHU, Generalizations of some fundamental theorems in linear inequalities, Acta Math. Sinica, 16 (1966), pp. 25-39.
    • (1966) Acta Math. Sinica , vol.16 , pp. 25-39
    • Zhu, Y.-J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.