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Existence theorems for Pareto optimization in Banach spaces
Authors:
L. Cesari and M. B. Suryanarayana
Journal:
Bull. Amer. Math. Soc. 82 (1976), 306-308
MSC (1970):
Primary 49A25, 49A10, 49A20, 90A15
MathSciNet review:
0399984
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Additional Information
- 1.
L.
Cesari and M.
B. Suryanarayana, Existence theorems for Pareto
optimization; multivalued and Banach space valued functionals, Trans. Amer. Math. Soc. 244 (1978), 37–65. MR 506609
(81h:49007), http://dx.doi.org/10.1090/S0002-9947-1978-0506609-1
- 2.
Lamberto
Cesari and M.
B. Suryanarayana, Existence theorems for Pareto problems of
optimization, Calculus of variations and control theory (Proc.
Sympos., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1975; dedicated
to Laurence Chisholm Young on the occasion of his 70th birthday), Academic
Press, New York, 1976, pp. 139–154. Publ. Math. Res. Center
Univ. Wisconsin, No. 36. Erroneously published without M. B.
Suryanarayana’s name. MR 0482479
(58 #2545)
- 3.
Steve
Smale, Global analysis and economics. I. Pareto optimum and a
generalization of Morse theory, Dynamical systems (Proc. Sympos.,
Univ. Bahia, Salvador, 1971) Academic Press, New York, 1973,
pp. 531–544. MR 0341535
(49 #6283)
- 4.
H. F. Weinberger, Conditions for local Pareto optima (to appear).
- 5.
P.
L. Yu and G.
Leitmann, Nondominated decisions and cone convexity in dynamic
multicriteria decision problems, J. Optimization Theory Appl.
14 (1974), 573–584. Collection of articles dedicated
to Magnus R. Hestenes. MR 0389241
(52 #10072)
- 1.
- L. Cesari and M. B. Suryanarayana, Existence theorems for Pareto optimization. Multivalued and Banach space valued functionals (to appear) MR 506609
- 2.
- L. Cesari and M. B. Suryanarayana, Existence theorems for Pareto problems of optimization, (Conf. on the Calculus of Variations and Optimal Control, Madison, Wisconsin, September 1975), pp. 139-154. MR 482479
- 3.
- S. Smale, Global analysis and economics. I. Pareto optimum and a generalization of Morse theory, Dynamical Systems (Proc. Sympos., Univ. of Bahia, Salvador, 1971), Academic Press, New York, 1973, pp. 531-544. MR 49 #6283. MR 341535
- 4.
- H. F. Weinberger, Conditions for local Pareto optima (to appear).
- 5.
- P. L. Yu and G. Leitmann, Nondominated decisions and cone convexity in dynamic multicriteria problems, J. Optimization Theory Appl. 14 (1974), 573-584. MR 389241
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1976-14033-5
PII:
S 0002-9904(1976)14033-5
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