The Space of Star-Shaped Sets and Its Applications in Nonsmooth Optimization

2548 10 2601 2 5149 document 2601 CP-84-029.pdf application/pdf 115272b3a5f343e2e5d87cfbf3e0c93f MD5 1016939 2016-01-15 01:55:20 https://pure.iiasa.ac.at/id/eprint/2548/1/CP-84-029.pdf 2548 1 1 text en public

CP-84-029.pdf

18 2607 2 5160 document 2607 lightbox.jpg image/png 719f4ecbaa8a564e3185f651632b8330 MD5 18162 2016-01-15 01:55:22 https://pure.iiasa.ac.at/id/eprint/2548/2/lightbox.jpg 2548 2 2 image/png other Thumbnails conversion from text to thumbnail_lightbox en public

lightbox.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/islightboxThumbnailVersionOf https://pure.iiasa.ac.at/id/document/2601 2609 2 5164 document 2609 preview.jpg image/png a006a1991c7ee73181826fc4ff660f63 MD5 7832 2016-01-15 01:55:23 https://pure.iiasa.ac.at/id/eprint/2548/3/preview.jpg 2548 3 3 image/png other Thumbnails conversion from text to thumbnail_preview en public

preview.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/ispreviewThumbnailVersionOf https://pure.iiasa.ac.at/id/document/2601 2611 2 5167 document 2611 medium.jpg image/png cb3b742934cd1efda4783ff3e61d17e1 MD5 2392 2016-01-15 01:55:24 https://pure.iiasa.ac.at/id/eprint/2548/4/medium.jpg 2548 4 4 image/png other Thumbnails conversion from text to thumbnail_medium en public

medium.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/ismediumThumbnailVersionOf https://pure.iiasa.ac.at/id/document/2601 2614 2 5171 document 2614 small.jpg image/png d6a8b91c8390574b8bc05b20efdd1a24 MD5 860 2016-01-15 01:55:25 https://pure.iiasa.ac.at/id/eprint/2548/5/small.jpg 2548 5 5 image/png other Thumbnails conversion from text to thumbnail_small en public

small.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/issmallThumbnailVersionOf https://pure.iiasa.ac.at/id/document/2601 2627 1 5194 document 2627 indexcodes.txt text/x-pascal f06f5f91f5a05d15e41c8ce4f80baaf0 MD5 4913 2016-01-15 01:55:31 https://pure.iiasa.ac.at/id/eprint/2548/6/indexcodes.txt 2548 6 6 text/x-pascal other Generate index codes conversion from text to indexcodes en public

indexcodes.txt

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/2601 65346 2 182725 document 65346 CP-84-029.pdf application/pdf dad6f1dc9cf8707bebeb4a3fe8ad56cf MD5 1408658 2016-07-19 17:12:38 https://pure.iiasa.ac.at/id/eprint/2548/7/CP-84-029.pdf 2548 7 7 application/pdf other Coversheet Pages conversion from text to application/pdf en public

CP-84-029.pdf

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2601 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2601 archive 351 disk0/00/00/25/48 2016-01-15 01:55:19 2021-08-27 17:12:09 2016-01-15 01:55:19 monograph show 2 Rubinov A.M. Yagubov A.A. The Space of Star-Shaped Sets and Its Applications in Nonsmooth Optimization pub iis_met prog_sds gauge; star-shaped sets; positively homogeneous functions; directional derivatives; nonsmooth optimization; quasidifferentiable functions; necessary conditions The study of quasidifferentiable functions is based on the properties of the space of convex sets. One very important concept in convex analysis is that of the gauge of a set. However, the definition of a gauge does not require convexity, and therefore the notion of a gauge can be extended beyond convex sets to a much wider class of sets. In this paper the authors develop a theory of gauge functions and study some properties of star-shaped sets. The results are then used to study nonsmooth extremal problems (of which problems involving quasidifferentiable functions represent a special class). 1984-06 published CP-84-029 CP-84-029 public collaborative_paper IIASA, Laxenburg, Austria 50 FALSE info:eu-repo/semantics/book