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| Volume 8, Number 3, December 2007, pp. 357-366 | |||||||||
| Yoshiyuki Sekiguchi and Wataru Takahashi | |||||||||
| Key words: | |||||||||
| Mathematical programming, metric regularity, normal cones, optimality conditions | |||||||||
| Mathematices Subject Classification: Primary 90C30, 49J53 | |||||||||
|
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| Volume 8, Number 3, December 2007, pp. 357-366 | |||||||||
| Yoshiyuki Sekiguchi and Wataru Takahashi | |||||||||
| Key words: | |||||||||
| Mathematical programming, metric regularity, normal cones, optimality conditions | |||||||||
| Mathematices Subject Classification: Primary 90C30, 49J53 | |||||||||
|
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| Abstract: | |||
| In the work, we consider a constraint system of a finite dimensional optimization problem defined with an operator and closed sets. The operator is assumed to be merely continuous. Under a constraint qualification, we give a straightforward proof for a representation of normal vectors to the feasible region. Then metric regularity of the constraint system are obtained by the formula. Moreover the rate of metric regularity is estimated. | |||
| On regularity of constraint systems with continuous operators | ||