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An improved definition of proper efficiency for vector maximization with respect to cones. (English) Zbl 0418.90081

MSC:
90C31 Sensitivity, stability, parametric optimization
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[1] Benson, H.P, Efficiency and proper efficiency in vector maximization with respect to cones, () · Zbl 0519.90080
[2] Benson, H.P, Existence of efficient solutions for vector maximization problems, J. optimization theory appl., 26, 569-580, (1978) · Zbl 0373.90085
[3] Borwein, J, Proper efficient points for maximizations with respect to cones, SIAM J. control optimization, 15, 57-63, (1977) · Zbl 0369.90096
[4] Canon, M.D; Cullum, C.D; Polak, E, Theory of optimal control and mathematical programming, (1970), McGraw-Hill New York · Zbl 0264.49001
[5] Geoffrion, A.M, Proper efficiency and the theory of vector maximization, J. math. anal. appl., 22, 618-630, (1968) · Zbl 0181.22806
[6] Kelley, J.L, Linear topological spaces, (1963), Van Nostrand Princeton, NJ · Zbl 0085.31903
[7] Varaiya, P.P, Nonlinear programming in Banach space, SIAM J. appl. math., 15, 284-293, (1967) · Zbl 0171.18004
[8] Wendell, R.E; Lee, D.N, Efficiency in multiple objective optimization problems, Math. programming, 12, 406-414, (1977) · Zbl 0362.90092
[9] Wijsman, R.A, Convergence of sequences of convex sets, cones and functions, Bull. amer. math. soc., 70, 186-188, (1964) · Zbl 0121.39001
[10] Wijsman, R.A, Convergence of sequences of convex sets, cones and functions, II, Trans. amer. math. soc., 123, 32-45, (1966) · Zbl 0146.18204
[11] Yu, P.L, Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives, J. optimization theory appl., 14, 319-377, (1974) · Zbl 0268.90057
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