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Volumn 4, Issue 2, 2008, Pages 385-391

Higher-order symmetric duality in multiobjective programming with invexity

Author keywords

Duality theorems; Higher order symmetric dual models; Invexity; Nonlinear multiobjective programming

Indexed keywords


EID: 56649086573     PISSN: 15475816     EISSN: 1553166X     Source Type: Journal    
DOI: 10.3934/jimo.2008.4.385     Document Type: Article
Times cited : (25)

References (12)
  • 1
    • 0002914691 scopus 로고
    • A symmetric dual theorem for quadratic programs
    • W. S. Dorn, A symmetric dual theorem for quadratic programs, J. Oper. Res. Soc. Japan, 2 (1960), 93-97.
    • (1960) J. Oper. Res. Soc. Japan , vol.2 , pp. 93-97
    • Dorn, W.S.1
  • 3
    • 0000473522 scopus 로고
    • A symmetric dual theorem for non-linear programs
    • B. Mond, A symmetric dual theorem for non-linear programs, Quart. Appl. Math., 23 (1965), 265-269.
    • (1965) Quart. Appl. Math , vol.23 , pp. 265-269
    • Mond, B.1
  • 4
    • 0012974443 scopus 로고
    • Symmetric duality for nonlinear multiobjective programming, Symmetric duality for nonlinear multiobjective programming
    • Santosh Kumar Ed, Gordon and Breach Science, London
    • B. Mond and T. Weir, Symmetric duality for nonlinear multiobjective programming, Symmetric duality for nonlinear multiobjective programming, Santosh Kumar (Ed.), Recent Developments in Mathematical Programming, Gordon and Breach Science, London, (1991), 137-153.
    • (1991) Recent Developments in Mathematical Programming , pp. 137-153
    • Mond, B.1    Weir, T.2
  • 5
    • 0000183955 scopus 로고
    • Symmetric and self duality in multiple objective programming
    • T. Weir and B. Mond, Symmetric and self duality in multiple objective programming, Asia-Pacific J. Oper. Res., 4 (1988), 124-133.
    • (1988) Asia-Pacific J. Oper. Res , vol.4 , pp. 124-133
    • Weir, T.1    Mond, B.2
  • 7
    • 0002500416 scopus 로고
    • Second order duality for nonlinear programs
    • B. Mond, Second order duality for nonlinear programs, Opsearch, 11 (1974), 90-99.
    • (1974) Opsearch , vol.11 , pp. 90-99
    • Mond, B.1
  • 8
    • 0034216282 scopus 로고    scopus 로고
    • Higher order generalized invexity and duality in mathematical programming
    • S. K. Mishra and N. G. Rueda, Higher order generalized invexity and duality in mathematical programming, J. Math. Anal. Appl., 247 (2000), 173-182.
    • (2000) J. Math. Anal. Appl , vol.247 , pp. 173-182
    • Mishra, S.K.1    Rueda, N.G.2
  • 9
    • 0002525885 scopus 로고    scopus 로고
    • Generalized Convexity, Generalized Monotonicity:Recent Results (Luminy, 1996)
    • Generalized convexity, Nonconvex Optim. Appl, 27, Kluwer Acad. Publ, Dordrecht
    • B. Mond and J. Zhang, Higher order invexity and duality in mathematical programming, Generalized convexity, in "Generalized Convexity, Generalized Monotonicity:Recent Results (Luminy, 1996)," 357-372, Nonconvex Optim. Appl., 27, Kluwer Acad. Publ., Dordrecht, 1998.
    • (1998) Higher order invexity and duality in mathematical programming , pp. 357-372
    • Mond, B.1    Zhang, J.2
  • 10
    • 0039976323 scopus 로고    scopus 로고
    • Second order symmetric and self duality in multiobjective programming
    • D. S. Kim, Y. B. Yun and H. Kuk, Second order symmetric and self duality in multiobjective programming, Appl. Math. Lett., 10 (1997), 17-22.
    • (1997) Appl. Math. Lett , vol.10 , pp. 17-22
    • Kim, D.S.1    Yun, Y.B.2    Kuk, H.3
  • 11
    • 84971160291 scopus 로고
    • Lagrangian conditions and quasiduality
    • B. D. Craven, Lagrangian conditions and quasiduality, Bull. Austral. Math. Soc., 16 (1977), 325-339.
    • (1977) Bull. Austral. Math. Soc , vol.16 , pp. 325-339
    • Craven, B.D.1
  • 12
    • 0035389494 scopus 로고    scopus 로고
    • Second-order symmetric duality in multiobjective programming
    • X. M. Yang and S. H. Hou, Second-order symmetric duality in multiobjective programming, Appl. Math. Lett., 14 (2001), 587-592.
    • (2001) Appl. Math. Lett , vol.14 , pp. 587-592
    • Yang, X.M.1    Hou, S.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.