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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 40, 1997 - Issue 3
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Original Articles

Seperability of Star-Shaped Sets and its Application to an Optimization Problem

Pages 207-227 | Published online: 20 Mar 2007

References

  • Rubinov , A.M. 1986 . The space of star-shaped sets and its application in nonsmooth optimization . Mathematical Programming Study , 29 : 176 – 202 . North Holland
  • Bragard , L. 1968 . Ensembles étoilés et irradiés dans un espace vectoriel topologique . Bull. Soc. roy sci. Lie’ge , 37 : 5 – 8 . 276-285
  • Bragrad , L. 1970 . Propriétés des ensembles irradiés . Bull. Soc. roy sci. Liége , 39 : 5 – 8 . 264-268
  • Nick Stavrakas , M. 1972 . The dimension of the convex kernel and points of local nonconvexity . Proc. Amer. Math. Soc , 34 ( 1 ) : 222 – 224 .
  • Falconer , K.J. 1977 . The dimension of the convex kernel of a compact star-shaped set . Bull. London Math. Soc , 9 ( 3 ) : 312 – 316 .
  • Breen , M. 1979 . The dimension of kernel of planar set . Pacific J. Math , 82 ( 1 ) : 15 – 21 .
  • Breen , M. 1982 . Clear visibility and dimension of kernel of the starshaped sets . Proc. Amer. Math. Soc , 83 ( 3 ) : 414 – 418 .

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