Analysis and applications of nonconvex subdifferential in infinite dimensions
We study a class of nonconvex subdifferentials and related infinite dimensional constructions which have various applications to problems in optimization, sensitivity, and control. Despite the nonconvexity of their values, these constructions enjoy useful calculus properties in rather general infinite dimensional settings. The main tool to develop such a nonconvex calculus is an extremal principle which is related to necessary optimality conditions in nonsmooth optimization and can be viewed as a nonconvex analogue of the classical separation theorem. We provide applications of the calculus results obtained to characterizations of openness, metric regularity, and Lipschitzian properties of set-valued mappings important in nonsmooth optimization, sensitivity analysis, and related topics.
- OSTI ID:
- 36299
- Report Number(s):
- CONF-9408161-; TRN: 94:009753-0632
- Resource Relation:
- Conference: 15. international symposium on mathematical programming, Ann Arbor, MI (United States), 15-19 Aug 1994; Other Information: PBD: 1994; Related Information: Is Part Of Mathematical programming: State of the art 1994; Birge, J.R.; Murty, K.G. [eds.]; PB: 312 p.
- Country of Publication:
- United States
- Language:
- English
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