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A formula for the level sets of epi-limits and some applications

Part of the Lecture Notes in Mathematics book series (LNM,volume 979)

Keywords

  • Convex Function
  • Complementarity Problem
  • Lower Semicontinuous
  • Cluster Point
  • Lower Semicontinuous Function

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References

  1. G. Salinetti and R. Wets, On the convergence of closed-valued measurable multifunctions, Trans.Amer.Math.Soc. 266 (198), 275–289.

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  2. G. Salinetti and R. Wets, On the convergence of sequences of convex sets in finite dimensions, Siam Review 21(1979), 18–33.

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  3. R. Wets, Convergence of convex functions, variational inequalities and convex optimization problems, in Variational Inequalities and Complementarity Problems, eds. R. Cottle, F. Giannessi and J-L. Lions. J. Wiley & Sons, New York, 1980. 375–403.

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  4. R. Robert, Contributions á l’Analyse Non Linéaire, Thèse, Universite de Grenoble, 1976.

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  5. H. Attouch and R. Wets, Approximation and convergence in nonlinear optimization, in Nonlinear Programming 4, eds. O. Mangasarian, R. Meyer and S. Robinson, Academic Press, New York, 1981, 367–394.

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© 1983 Springer-Verlag

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Wets, R.JB. (1983). A formula for the level sets of epi-limits and some applications. In: Cecconi, J.P., Zolezzi, T. (eds) Mathematical Theories of Optimization. Lecture Notes in Mathematics, vol 979. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066260

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  • DOI: https://doi.org/10.1007/BFb0066260

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11999-9

  • Online ISBN: 978-3-540-39473-0

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