The Fermat Rule and Lagrange Multiplier Rule for Various Efficient Solutions of Set-Valued Optimization Problems Expressed in Terms of Coderivatives

2011 ◽  
pp. 417-466 ◽  
Author(s):  
Truong Xuan Duc Ha
Keyword(s):  
Lagrange Multiplier ◽  
Optimization Problems ◽  
Efficient Solutions ◽  
Lagrange Multiplier Rule ◽  
Multiplier Rule

scholarly journals Quasi-regularity in Optimization

1986 ◽  
Vol 41 (2) ◽  
pp. 188-192 ◽  
Author(s):  
Kung-Fu Ng ◽  
David Yost
Keyword(s):  
Banach Space ◽  
Lagrange Multiplier ◽  
Optimization Problems ◽  
General Situation ◽  
Lagrange Multiplier Rule ◽  
Infinite Dimensional ◽  
Space Setting ◽  
Multiplier Rule ◽  
Dimensional Version ◽  
Definition Of

AbstractThe notion of quasi-regularity, defined for optimization problems in Rn, is extended to the Banach space setting. Examples are given to show that our definition of quasi-regularity is more natural than several other possibilities in the general situation. An infinite dimensional version of the Lagrange multiplier rule is established.

The Lagrange Multiplier Rule

1973 ◽  
Vol 80 (8) ◽  
pp. 922 ◽  
Author(s):  
E. J. McShane
Keyword(s):  
Lagrange Multiplier ◽  
Lagrange Multiplier Rule ◽  
Multiplier Rule

A lagrange multiplier rule in Hilbert space

1969 ◽  
Vol 4 (6) ◽  
pp. 386-393 ◽  
Author(s):  
T. Guinn ◽  
E. M. Landesman ◽  
E. Y. Mikami
Keyword(s):  
Hilbert Space ◽  
Lagrange Multiplier ◽  
Lagrange Multiplier Rule ◽  
Multiplier Rule

The Lagrange Multiplier Rule

1973 ◽  
Vol 80 (8) ◽  
pp. 922-925 ◽  
Author(s):  
E. J. McShane
Keyword(s):  
Lagrange Multiplier ◽  
Lagrange Multiplier Rule ◽  
Multiplier Rule
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