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Volumn 4, Issue 1, 1997, Pages 109-127

A systematization of convexity concepts for sets and functions

Author keywords

Generalized convex functions; Generalized convex sets; Necessary optimality conditions

Indexed keywords


EID: 21744454161     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (66)

References (25)
  • 2
    • 0009299624 scopus 로고
    • Optimization on closely convex sets
    • S. Komlósi, T. Rapcsák, S. Schaible (Eds.): Springer-Verlag, Berlin et al.
    • L. Blaga, I. Kolumbán: Optimization on closely convex sets, In S. Komlósi, T. Rapcsák, S. Schaible (Eds.): Generalized Convexity, Lect. Notes in Economies and Math. Systems, Vol. 405, Springer-Verlag, Berlin et al. (1994) 19-34.
    • (1994) Generalized Convexity, Lect. Notes in Economies and Math. Systems , vol.405 , pp. 19-34
    • Blaga, L.1    Kolumbán, I.2
  • 6
    • 0021386578 scopus 로고
    • Theorems of the alternative and optimality conditions
    • F. Giannessi: Theorems of the alternative and optimality conditions, J. Optim. Theory Appl. 42 (1984) 331-365.
    • (1984) J. Optim. Theory Appl. , vol.42 , pp. 331-365
    • Giannessi, F.1
  • 7
    • 0020193048 scopus 로고
    • Perfect duality for convexlike programs
    • M. Hayashi, H. Komiya: Perfect duality for convexlike programs, J. Optim. Theory Appl. 38 (1982) 179-189.
    • (1982) J. Optim. Theory Appl. , vol.38 , pp. 179-189
    • Hayashi, M.1    Komiya, H.2
  • 8
    • 0017950481 scopus 로고
    • On cone-efficiency, cone-convexity and cone-compactness
    • R. Hartley: On cone-efficiency, cone-convexity and cone-compactness, SIAM J. Appl. Math. 34 (1978) 211-222.
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 211-222
    • Hartley, R.1
  • 12
    • 0347384838 scopus 로고
    • Convex-like alternative theorems and mathematical programming
    • V. Jeyakumar: Convex-like alternative theorems and mathematical programming, Optimization 16 (1985) 643-652.
    • (1985) Optimization , vol.16 , pp. 643-652
    • Jeyakumar, V.1
  • 13
    • 0022676168 scopus 로고
    • A generalization of a minimax theorem of Fan via a theorem of the alternative
    • V. Jeyakumar: A generalization of a minimax theorem of Fan via a theorem of the alternative, J. Optim. Theory Appl. 48 (1986) 525-533.
    • (1986) J. Optim. Theory Appl. , vol.48 , pp. 525-533
    • Jeyakumar, V.1
  • 14
  • 16
    • 0001702789 scopus 로고
    • Über das von-Neumannsche Minimax-Theorem
    • H. König: Über das von-Neumannsche Minimax-Theorem, Arch. Math. (Basel) 19 (1968) 482-487.
    • (1968) Arch. Math. (Basel) , vol.19 , pp. 482-487
    • König, H.1
  • 18
    • 0003097786 scopus 로고
    • Axiomatic approach to duality in optimization
    • D. T. Luc, J. Jahn: Axiomatic approach to duality in optimization, Numer. Funct. Anal. Optim. 13 (1992) 305-326.
    • (1992) Numer. Funct. Anal. Optim. , vol.13 , pp. 305-326
    • Luc, D.T.1    Jahn, J.2
  • 19
    • 0003957477 scopus 로고
    • Birkhäuser Verlag, Basel, Stuttgart
    • J. T. Marti: Konvexe Analysis, Birkhäuser Verlag, Basel, Stuttgart, 1977.
    • (1977) Konvexe Analysis
    • Marti, J.T.1
  • 20
    • 0026907939 scopus 로고
    • Convexlike and concavelike conditions in alternative, minimax and minimization theorems
    • S. Paeck: Convexlike and concavelike conditions in alternative, minimax and minimization theorems, J. Optim. Theory Appl. 74 (1992) 317-332.
    • (1992) J. Optim. Theory Appl. , vol.74 , pp. 317-332
    • Paeck, S.1
  • 22
    • 0000715545 scopus 로고
    • Scalarization and Lagrange duality in multiobjective optimization
    • S. Wang, Z. Li: Scalarization and Lagrange duality in multiobjective optimization, Optimization 26 (1992) 315-324.
    • (1992) Optimization , vol.26 , pp. 315-324
    • Wang, S.1    Li, Z.2
  • 23
    • 0016102482 scopus 로고
    • Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
    • P. L. Yu: Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives, J. Optim. Theory Appl. 14 (1974) 319-377.
    • (1974) J. Optim. Theory Appl. , vol.14 , pp. 319-377
    • Yu, P.L.1
  • 25
    • 0023174234 scopus 로고
    • Solvability results for sublinear functions and operators
    • C. Zǎlinescu: Solvability results for sublinear functions and operators, Z. Oper. Res. Ser. A 31 (1987) 79-101.
    • (1987) Z. Oper. Res. Ser. A , vol.31 , pp. 79-101
    • Zǎlinescu, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.