Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 20, 1989 - Issue 5
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Original Articles

Limit properties of distance functions via semigroup techniques

Pages 639-650 | Received 01 May 1988, Published online: 27 Jun 2007

References

  • Brezis , H. and Browder , F.E. 1976 . A general principle on ordered sets in nonlinear functional analysis . Advances in Math , 21 : 355 – 364 .
  • Cartan , H. 1967 . Calcul Differentiel , Paris : Hermann .
  • Clarke , F.H. 1975 . Generalized gradients and applications . Trans. Amer. Math. Soc , 205 : 247 – 262 .
  • Crandall , M.G. and Pazy , A. 1969 . Semigroups of nonlinear contractions and dissipative sets . J. Funct. Analysis , 3 : 376 – 418 .
  • Deimling , K. 1985 . Nonlinear Functional Analysis , Berlin : Springer Verlag .
  • Dieudonne , J. 1960 . Foundations of Modern Analysis , New York : Academic Press .
  • Dolecki , S. and Penot , J.P. 1983 . The Clarke’s tangent cone and limit of tangent cones , 1 – 11 . Pubh Math. Univ. Pau .
  • Hiriart-Urruty , J.B. 1979 . Tangent cones, generalized gradients and mathematicalc programming in Banach spaces . Math. Oper. Research , 4 : 79 – 97 .
  • Kirk , W.A. 1976 . Caristi’s fixed point theorem and metric convexity . Colloq. Math , 36 : 81 – 86 .
  • Martin , R.H. 1973 . Differential equations on closed subsets of a Banach space . Trans. Amer. Math. Soc , 179 : 399 – 414 .
  • Pavel , N. 1984 . “ Differential Equations ” . In Flow Invariance and Applications , London : Pitman .
  • Penot , J.P. 1985 . A characterization of Clarke’s strict tangent cones via nonlinear semigroups . Proc. Amer. Math. Soc , 93 : 128 – 132 .
  • Redheffer , R.M. 1972 . The theorems of Bony and Brezis on flow-invariant sets . Amer. Math. Monthly , 79 : 740 – 746 .
  • Treiman , J.S. 1983 . Characterization of Clarke’s tangent and normal cones in finite and infinite dimensions . Nonlinear Analysis, Theory. Meth. and Appl , 7 : 771 – 783 .
  • Turinici , M. 1981 . Flow invariance theorems via maximal element techniques . Proc. Koninkl. Nederl. Akad. Wetensch , 84 ( A ) : 445 – 457 .
  • Turinici , M. 1982 . Mean value theorems via maximal element techniques . J. Math. Anal.Appl , 88 ( A ) : 48 – 60 .
  • Turinici , M. 1981 . Stability criteria for contractive semigroups via maximality procedures . Bull. Austral. Math. Soc , 24 ( A ) : 453 – 469 .

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