On Optimality Conditions for Some Nonsmooth Optimization Problems over Lp Spaces

The paper deals with the minimization of an integral functional over an Lp space subject to various types of constraints. For such optimization problems, new necessary optimality conditions are derived, based on several concepts of nonsmooth analysis. In particular, we employ the generalized differe...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 126; no. 2; pp. 411 - 438
Main Authors:	Outrata, J. V., Römisch, W.
Format:	Journal Article
Language:	English
Published:	New York, NY Springer 01.08.2005 Springer Nature B.V
Subjects:	Applied sciences Calculus Exact sciences and technology Fuzzy logic Hilbert space Mathematical functions Mathematical models Mathematical programming Operational research and scientific management Operational research. Management science Optimization Studies Proximal Subgradient optimization multistage programs two-stage programs Functional minimization Subdifferential integral functionals Stochastic programming Fuzzy logic coderivatives fuzzy calculus Nonsmooth analysis Normal integrands Optimality condition Optimality criterion normal cones subdifferentials
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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