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Point-to-set maps in mathematical programming. (English) Zbl 0256.90042

Summary: Properties of point-to-set maps are studied from an elementary viewpoint oriented toward applications in mathematical programming. A number of different definitions and results are compared and integrated. Conditions establishing continuity of extremal value functions and properties of maps determined by inequalities are included.

MSC:

90C25 Convex programming
90C30 Nonlinear programming
90C55 Methods of successive quadratic programming type
46A99 Topological linear spaces and related structures
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