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On mixed symmetric duality in multiobjective programming. (English) Zbl 1141.90517


MSC:

90C29 Multi-objective and goal programming
90C46 Optimality conditions and duality in mathematical programming
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[1] S. CHANDRA AND M.V. DURGA PRASAD, Symmetric duality in multiobjective programming, Journal of Australian Mathematical Society, Series B, (1993) 35, 198-206. · Zbl 0802.90087 · doi:10.1017/S0334270000009127
[2] S. CHANDRA, B.D. CRAVEN AND B. MOND, Vector - valued lagrangian and multiobjective fractional programming duality, Number. Funct. Anal. and Optimiz., 11 (3&4), 239-254 (1990). · Zbl 0689.90068 · doi:10.1080/01630569008816373
[3] S. CHANDRA, I HUSAIN AND ABHA, On mixed symmetric duality in mathematical Programming, submitted for publication. · Zbl 1141.90539
[4] G.B. DANTZIG, E. EISENBERG AND R.W. COTTLE, Symmetric dual nonlinear programs, Pacific Journal of Mathematics, 15 (1965), 809-812. · Zbl 0136.14001 · doi:10.2140/pjm.1965.15.809
[5] W.S. DORN, A symmetric dual theorem for quadratic programs, Journal of Operations Research Society of Japan, 2 (1960), 93-97.
[6] B. MOND, A symmetric dual theorem for nonlinear programs, Quarterly Applied Mathematics, 23 (1965), 265-269. · Zbl 0136.13907 · doi:10.1090/qam/207399
[7] B. MOND AND T. WEIR, Generalized concavity and duality, in Generalized concavity in optimization and Economics (eds. S. Schaible and W.T. Zeimba), (Academic Press (1981)) 263-279. · Zbl 0538.90081
[8] B. MOND AND T. WEIR, Symmetric duality for nonlinear multiobjective programming, Recent developments in mathematical programming, (eds. Santosh Kumar, on the behalf of the Australian society of operations Research), (Gorden and Breach Science Publisher (1991)) 137-153. · Zbl 0787.90083
[9] T. WEIR, Symmetric dual multiobjective fractional programming, Journal of Australian Mathematical Society (Series A), 50 (1991), 75-87. · Zbl 0737.90057 · doi:10.1017/S1446788700032559
[10] T. WEIR AND B. MOND, Symmetric and self duality in multiobjective programming, Asain Pacific Journal Operational Research, 5, 129-133. · Zbl 0719.90064
[11] Z. XU, Mixed type duality in multiobjective programming problems, Journal of Mathematical Analysis And Applications, 198 (1996), 621-635. · Zbl 0847.90131 · doi:10.1006/jmaa.1996.0103
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