Hogan, William W. Point-to-set maps in mathematical programming. (English) Zbl 0256.90042 SIAM Rev. 15, No. 3, 591-603 (1973). 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. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 167 Documents MSC: 90C25 Convex programming 90C30 Nonlinear programming 90C55 Methods of successive quadratic programming type 46A99 Topological linear spaces and related structures PDFBibTeX XMLCite \textit{W. W. Hogan}, SIAM Rev. 15, 591--603 (1973; Zbl 0256.90042) Full Text: DOI