메뉴 건너뛰기




Volumn 116, Issue 3, 2007, Pages 177-196

Conjugate duality for multiobjective composed optimization problems

Author keywords

Composed convex functions; Multiobjective duality; Optimality conditions; Scalar duality

Indexed keywords


EID: 34547216861     PISSN: 02365294     EISSN: 15882632     Source Type: Journal    
DOI: 10.1007/s10474-007-4273-0     Document Type: Article
Times cited : (10)

References (24)
  • 1
    • 34547223355 scopus 로고    scopus 로고
    • R. I. Boţ and G. Wanka, Duality for composed convex functions with applications in location theory, in: Multi-Criteria-und Fuzzy-Systeme in Theorie and Praxis, W. Habenicht, B. Scheubrein, R. Scheubrein (Eds.), Gabler Edition Wissenschaft (2003), pp. 1-18.
    • R. I. Boţ and G. Wanka, Duality for composed convex functions with applications in location theory, in: Multi-Criteria-und Fuzzy-Systeme in Theorie and Praxis, W. Habenicht, B. Scheubrein, R. Scheubrein (Eds.), Gabler Edition Wissenschaft (2003), pp. 1-18.
  • 2
    • 3142761637 scopus 로고    scopus 로고
    • An analysis of some dual problems in multiobjective optimization (I)
    • R. I. Boţ and G. Wanka, An analysis of some dual problems in multiobjective optimization (I), Optimization, 53 (2004), 281-300.
    • (2004) Optimization , vol.53 , pp. 281-300
    • Boţ, R.I.1    Wanka, G.2
  • 3
    • 3142702890 scopus 로고    scopus 로고
    • An analysis of some dual problems in multiobjective optimization (II)
    • R. I. Boţ and G. Wanka, An analysis of some dual problems in multiobjective optimization (II), Optimization, 53 (2004), 301-324.
    • (2004) Optimization , vol.53 , pp. 301-324
    • Boţ, R.I.1    Wanka, G.2
  • 4
    • 0026869921 scopus 로고
    • Optimality conditions for non-finite valued convex composite functions
    • Ser. B
    • J. V. Burke and R. A. Poliquin, Optimality conditions for non-finite valued convex composite functions, Mathematical Programming, 57, Ser. B (1992), 103-120.
    • (1992) Mathematical Programming , vol.57 , pp. 103-120
    • Burke, J.V.1    Poliquin, R.A.2
  • 5
    • 0000881030 scopus 로고
    • Sous-différentiels de fonctions convexes composées
    • C. Combali, M. Laghdir and. L. Thibault, Sous-différentiels de fonctions convexes composées, Ann. Sci. Math. Québec, 18 (1994), 119-148.
    • (1994) Ann. Sci. Math. Québec , vol.18 , pp. 119-148
    • Combali, C.1    Laghdir, M.2    Thibault, L.3
  • 9
    • 0018441517 scopus 로고
    • Necessary and sufficient conditions for a local minimum, 1: A reduction theorem and first-order conditions
    • A. D. Ioffe, Necessary and sufficient conditions for a local minimum, 1: A reduction theorem and first-order conditions, SIAM Journal of Control Optimization, 17 (1979), 245-250.
    • (1979) SIAM Journal of Control Optimization , vol.17 , pp. 245-250
    • Ioffe, A.D.1
  • 10
    • 0011047983 scopus 로고
    • Necessary and sufficient conditions for a local minimum, 2: Conditions of Levitin-Miljutin-Osmolovskii type
    • A. D. Ioffe, Necessary and sufficient conditions for a local minimum, 2: Conditions of Levitin-Miljutin-Osmolovskii type, SIAM Journal of Control Optimization, 17 (1979), 251-265.
    • (1979) SIAM Journal of Control Optimization , vol.17 , pp. 251-265
    • Ioffe, A.D.1
  • 11
    • 0018441518 scopus 로고
    • Necessary and sufficient conditions for a local minimum, 1: Second-order conditions and augmented duality
    • A. D. Ioffe, Necessary and sufficient conditions for a local minimum, 1: Second-order conditions and augmented duality, SIAM Journal of Control Optimization, 17 (1979), 266-288.
    • (1979) SIAM Journal of Control Optimization , vol.17 , pp. 266-288
    • Ioffe, A.D.1
  • 12
    • 84964345845 scopus 로고
    • Composite nonsmooth programming with Gâteaux differentiability
    • V. Jeyakumar, Composite nonsmooth programming with Gâteaux differentiability, SIAM Journal on Optimization, 1 (1991), 30-41.
    • (1991) SIAM Journal on Optimization , vol.1 , pp. 30-41
    • Jeyakumar, V.1
  • 13
    • 34250083265 scopus 로고    scopus 로고
    • V. Jeyakumar and X. Q. Yang, Convex composite multi-objective nonsmooth programming, Mathematical Programming, 59, Ser. A (1993), 325-343.
    • V. Jeyakumar and X. Q. Yang, Convex composite multi-objective nonsmooth programming, Mathematical Programming, 59, Ser. A (1993), 325-343.
  • 15
    • 0038885420 scopus 로고
    • Generalized convex composite multi-objective nonsmooth programming and conditional proper efficiency
    • S. K. Mishra and R. N. Mukherjee, Generalized convex composite multi-objective nonsmooth programming and conditional proper efficiency, Optimization, 34 (1995), 53-66.
    • (1995) Optimization , vol.34 , pp. 53-66
    • Mishra, S.K.1    Mukherjee, R.N.2
  • 16
    • 0004267646 scopus 로고
    • Princeton University Press Princeton
    • R. T. Rockafellar, Convex Analysis, Princeton University Press (Princeton, 1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 17
    • 0004442458 scopus 로고    scopus 로고
    • Multiobjective duality for convex-linear problems
    • K. Inderfurth, G. Schwödiauer, W. Domschke, F. Juhnke, P. Kleinschmidt, G. Wäscher (Eds, Springer Verlag Berlin
    • G. Wanka and R. I. Boţ, Multiobjective duality for convex-linear problems, in: Operations Research Proceedings 1999, K. Inderfurth, G. Schwödiauer, W. Domschke, F. Juhnke, P. Kleinschmidt, G. Wäscher (Eds.), Springer Verlag (Berlin, 2000), pp. 36-40.
    • (1999) Operations Research Proceedings , pp. 36-40
    • Wanka, G.1    Boţ, R.I.2
  • 18
    • 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, Journal of Nonlinear and Convex Analysis, 3 (2002), 41-57.
    • (2002) Journal of Nonlinear and Convex Analysis , vol.3 , pp. 41-57
    • Wanka, G.1    Boţ, R.I.2
  • 19
    • 33845936809 scopus 로고    scopus 로고
    • Duality for the multiobjective location model involving sets as existing facilities
    • P. M. Pardalos, I. Tsevendorj, R. Enkhbat Eds, World Scientific Publishing
    • G. Wanka, R. I. Boţ and E. Vargyas, Duality for the multiobjective location model involving sets as existing facilities, in: Optimization and Optimal Control, P. M. Pardalos, I. Tsevendorj, R. Enkhbat (Eds.), World Scientific Publishing (2003), 307-333.
    • (2003) Optimization and Optimal Control , pp. 307-333
    • Wanka, G.1    Boţ, R.I.2    Vargyas, E.3
  • 22
    • 0031512551 scopus 로고    scopus 로고
    • First and second-order optimality conditions for convex composite multiobjective optimization
    • X. Q. Yang and V. Jeyakumar, First and second-order optimality conditions for convex composite multiobjective optimization, Journal of Optimization Theory and Applications, 95 (1997), 209-224.
    • (1997) Journal of Optimization Theory and Applications , vol.95 , pp. 209-224
    • Yang, X.Q.1    Jeyakumar, V.2
  • 23
    • 0000812673 scopus 로고    scopus 로고
    • Second-order optimality conditions for convex composite optimization
    • X. Q. Yang, Second-order optimality conditions for convex composite optimization, Mathematical Programming, 81 (1998), 327-347.
    • (1998) Mathematical Programming , vol.81 , pp. 327-347
    • Yang, X.Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.