메뉴 건너뛰기




Volumn 15, Issue 2, 2005, Pages 540-554

Farkas-type results with conjugate functions

Author keywords

Conjugate duality; Farkas type results; Finitely and infinitely many convex constraints

Indexed keywords

CONSTRAINT THEORY; FUNCTIONS; LINEAR SYSTEMS; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; OPTIMIZATION; SET THEORY; THEOREM PROVING;

EID: 18744402742     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/030602332     Document Type: Article
Times cited : (41)

References (22)
  • 2
    • 85060509037 scopus 로고    scopus 로고
    • Strong duality for generalized convex optimization problems
    • to appear
    • R. I. BOŢ., G. KASSAY, AND G. WANKA, Strong duality for generalized convex optimization problems, J. Optim. Theory Appl., to appear.
    • J. Optim. Theory Appl.
    • Boţ, R.I.1    Kassay, G.2    Wanka, G.3
  • 3
    • 18744394860 scopus 로고    scopus 로고
    • Preprint 16/2004, Chemnitz University of Technology, Faculty of Mathematics, Chemnitz, Germany
    • R. I. BOŢ AND G. WANKA, Farkas-Type Results for Max-Functions and Applications, Preprint 16/2004, Chemnitz University of Technology, Faculty of Mathematics, Chemnitz, Germany, 2004.
    • (2004) Farkas-type Results for Max-functions and Applications
    • Boţ, R.I.1    Wanka, G.2
  • 6
    • 84941391018 scopus 로고
    • Theorie der einfachen Ungleichungen
    • J. FARKAS, Theorie der einfachen Ungleichungen, J. Reine Angew. Math., 124 (1901), pp. 1-27.
    • (1901) J. Reine Angew. Math. , vol.124 , pp. 1-27
    • Farkas, J.1
  • 7
    • 0030135235 scopus 로고    scopus 로고
    • Complete characterizations of global optimality for problems involving the pointwise minimum of sublinear functions
    • B. M. GLOVER, Y. ISHIZUKA, V. JEYAKUMAR, AND H. D. TUAN, Complete characterizations of global optimality for problems involving the pointwise minimum of sublinear functions, SIAM J. Optim., 6 (1996), pp. 362-372.
    • (1996) SIAM J. Optim. , vol.6 , pp. 362-372
    • Glover, B.M.1    Ishizuka, Y.2    Jeyakumar, V.3    Tuan, H.D.4
  • 8
    • 0028766961 scopus 로고
    • A Farkas lemma for difference sublinear systems and quasidifferentiable programming
    • B. M. GLOVER, V. JEYAKUMAR, AND W. OETTLI, A Farkas lemma for difference sublinear systems and quasidifferentiable programming, Math. Programming, 63 (1994), pp. 109-125.
    • (1994) Math. Programming , vol.63 , pp. 109-125
    • Glover, B.M.1    Jeyakumar, V.2    Oettli, W.3
  • 10
    • 0011556169 scopus 로고
    • Corrigendum and addendum to "Results of Farkas type"
    • J. GWINNER, Corrigendum and addendum to "Results of Farkas type," Numer. Funct. Anal. Optim., 10 (1989), pp. 415-418.
    • (1989) Numer. Funct. Anal. Optim. , vol.10 , pp. 415-418
    • Gwinner, J.1
  • 11
    • 0011684077 scopus 로고
    • On systems of convex inequalities
    • C. W. HA, On systems of convex inequalities, J. Math. Anal. Appl., 68 (1979), pp. 25-34.
    • (1979) J. Math. Anal. Appl. , vol.68 , pp. 25-34
    • Ha, C.W.1
  • 12
    • 0242679729 scopus 로고    scopus 로고
    • Characterizing set containments involving infinite convex constraints and reverse-convex constraints
    • V. JEYAKUMAR, Characterizing set containments involving infinite convex constraints and reverse-convex constraints, SIAM J. Optim., 13 (2003), pp. 947-959.
    • (2003) SIAM J. Optim. , vol.13 , pp. 947-959
    • Jeyakumar, V.1
  • 13
    • 0011623193 scopus 로고
    • Nonlinear extensions of Parkas' lemma with applications to global optimization and least squares
    • V. JEYAKUMAR AND B. M. GLOVER, Nonlinear extensions of Parkas' lemma with applications to global optimization and least squares, Math. Oper. Res., 20 (1995), pp. 818-837.
    • (1995) Math. Oper. Res. , vol.20 , pp. 818-837
    • Jeyakumar, V.1    Glover, B.M.2
  • 14
    • 0011560520 scopus 로고    scopus 로고
    • Characterizing global optimality for DC optimization problems under convex inequality constraints
    • V. JEYAKUMAR AND B. M. GLOVER, Characterizing global optimality for DC optimization problems under convex inequality constraints, J. Global Optim., 8 (1996), pp. 171-187.
    • (1996) J. Global Optim. , vol.8 , pp. 171-187
    • Jeyakumar, V.1    Glover, B.M.2
  • 15
    • 0001822816 scopus 로고
    • Inequality systems and optimization
    • V. JEYAKUMAR AND J. GWINNER, Inequality systems and optimization, J. Math. Anal. Appl., 159 (1991), pp. 51-71.
    • (1991) J. Math. Anal. Appl. , vol.159 , pp. 51-71
    • Jeyakumar, V.1    Gwinner, J.2
  • 17
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 18
    • 0000765558 scopus 로고
    • A general approach to dual characterizations of solvability of inequality systems with applications
    • A. M. RUBINOV, B. M. GLOVER, AND V. JEYAKUMAR, A general approach to dual characterizations of solvability of inequality systems with applications, J. Convex Anal., 2 (1995), pp. 309-344.
    • (1995) J. Convex Anal. , vol.2 , pp. 309-344
    • Rubinov, A.M.1    Glover, B.M.2    Jeyakumar, V.3
  • 19
    • 0012319217 scopus 로고    scopus 로고
    • On the relations between different dual problems in convex mathematical programming
    • P. Chamoni, R. Leisten, A. Martin, J. Minnemann, and H. Stadtler, eds., Springer-Verlag, Berlin
    • G. WANKA AND R. I. BoŢ, On the relations between different dual problems in convex mathematical programming, in Operations Research Proceedings 2001, P. Chamoni, R. Leisten, A. Martin, J. Minnemann, and H. Stadtler, eds., Springer-Verlag, Berlin, 2002, pp. 255-262.
    • (2002) Operations Research Proceedings 2001 , pp. 255-262
    • Wanka, G.1    Boţ, R.I.2
  • 20
    • 0012275834 scopus 로고    scopus 로고
    • A new duality approach for multiobjective convex optimization problems
    • G. WANKA AND R. I. BoŢ, A new duality approach for multiobjective convex optimization problems, J. Nonlinear Convex Anal., 3 (2002), pp. 41-57.
    • (2002) J. Nonlinear Convex Anal. , vol.3 , pp. 41-57
    • Wanka, G.1    Boţ, R.I.2
  • 21
    • 0036869210 scopus 로고    scopus 로고
    • Multiobjective duality for convex ratios
    • G. WANKA AND R. I. BoŢ, Multiobjective duality for convex ratios, J. Math. Anal. Appl., 275 (2002), pp. 354-368.
    • (2002) J. Math. Anal. Appl. , vol.275 , pp. 354-368
    • Wanka, G.1    Boţ, R.I.2
  • 22
    • 3042994369 scopus 로고
    • A generalization of the Farkas lemma with applications to convex programming
    • C. ZÃLINESCU, A generalization of the Farkas lemma with applications to convex programming, J. Math. Anal. Appl., 66 (1978), pp. 651-678.
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 651-678
    • Zãlinescu, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.