zbMATH — the first resource for mathematics

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

90C31 Sensitivity, stability, parametric optimization
Full Text: DOI
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.