Second-order symmetric and self duality in multiobjective programming

Applied Mathematics Letters

Volumn 10, Issue 2, 1997, Pages 17-22

  Kim, D S ^a   Yun, Y B ^a   Kuk, H ^b  

^a Pukyong National University   (South Korea)

^b OKAYAMA UNIVERSITY   (Japan)

Author keywords

Efficient solution; Multiobjective programming; Second order self duality; Second order symmetric duality

Indexed keywords

EID: 0039976323     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00004-9     Document Type: Article

References (9)

1. G.B. Dantzig, E. Eisenberg and R.W. Cottle, Symmetric dual nonlinear programs, Pacific J. Math. 15, 809-812, (1965).
2. B. Mond, A symmetric dual theorem for nonlinear programs, Quart. Appl. Math. 23, 265-269, (1965).
3. B. Mond and T. Weir, Generalized concavity and duality, In Generalized Concavity in Optimization and Economics, (Edited by S. Schaible and W.T. Ziemba), pp. 263-279, Academic Press, New York, (1981).
4. D.S. Kim and G.M. Lee, Symmetric duality with pseudo-invexity in variational problems, Optimization 28, 9-16, (1993).
5. T. Weir and B. Mond, Symmetric and self duality in multiobjective programming, Asia-Pacific J. Oper. Res. 5, 124-133, (1988).
6. B. Mond and T. Weir, Symmetric duality for nonlinear multiobjective programming, In Recent Developements in Mathematical Programming, (Edited by S. Kumar), pp. 137-153, Gordan and Breach Science Publishers, (1991).
7. W.S. Dorn, Self-dual quadratic programs, J. Soc. Indust. Appl. Math. 9, 51-54, (1961).
8. M.A. Hanson, Duality and self-duality in mathematical programming, SIAM J. Appl. Math. 12, 446-449, (1964).
9. B. Mond and R.W. Cottle, Self-duality in mathematical programming, SIAM J. Appl. Math. 14, 420-123, (1966).