Subdifferential of Optimal Value Functions in Nonlinear Infinite Programming

Journal Article · Wed Feb 15 00:00:00 EST 2012 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-011-9152-Y· OSTI ID:22043812

Giang, N D ^[1]

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1. Hanoi Pedagogical University No. 2, Department of Mathematics (Viet Nam)

This paper presents an exact formula for computing the normal cones of the constraint set mapping including the Clarke normal cone and the Mordukhovich normal cone in infinite programming under the extended Mangasarian-Fromovitz constraint qualification condition. Then, we derive an upper estimate as well as an exact formula for the limiting subdifferential of the marginal/optimal value function in a general Banach space setting.

• OSTI ID: 22043812
• Journal Information: Applied Mathematics and Optimization, Vol. 65, Issue 1; Other Information: Copyright (c) 2012 Springer Science+Business Media, LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
BANACH SPACE
CONES
FUNCTIONS
MAPPING
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PROGRAMMING