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A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming. (English) Zbl 0354.90075


MSC:

90C30 Nonlinear programming
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[1] M.S. Bazaraa, J.J. Goode and C.M. Shetty, ”Constraint qualifications revisited”,Management Science 18 (1972) 567–573. · Zbl 0257.90049 · doi:10.1287/mnsc.18.9.567
[2] J. Gauvin and J.W. Tolle, ”Differential stability in nonlinear programming”,SIAM Journal on Control and Optimization 15 (2) (1977). · Zbl 0374.90062
[3] D.W. Peterson, ”A review of constraint qualifications in finite-dimensional spaces”,SIAM Review 15 (1973) 639–654. · Zbl 0255.90049 · doi:10.1137/1015075
[4] E.L. Peterson, ”Fenchel’s hypothesis and the existence of recession directions in convex programming”, Discussion Paper No. 152, Department of Industrial Engineering, Northwestern University, Evanston, IL (June 1975).
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