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Nonlinear optimization

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1107)

Keywords

  • Optimization Theory
  • Existence Theorem
  • Closure Property
  • Extended Function
  • Extended Problem

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References

  1. L. CESARI, Optimization-Theory and Applications. Problems with Ordinary Differential Equations. Springer Verlag 1983, xiv+542.

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  2. L. CESARI, Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I and II. Trans. Amer. Math. Soc. 124, 1966, 369–412, 413–429.

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  3. L. CESARI and P. PUCCI, An elementary proof of an equivalence theorem relevant in the theory of optimization. Journ. Optimization Theory Appl., to appear.

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  4. L. CESARI and M.B. SURYANARAYANA, Closure theorems without seminormality conditions. Journ. Optimization Theory Appl. 15, 1975, 441–465.

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  5. L. CESARI and M.B. SURYANARAYANA, On recent existence theorems in the theory of optimization. Journ. Optimization Theory Appl. 31, 1980, 197–415.

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  6. L. CESARI and M.B. SURYANARAYANA, Upper semicontinuity properties of set valued functions. Nonlinear Analysis 4, 1980, 639–656.

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  7. T.S. ANGELL, A note on approximation of optimal solutions of free problems of the calculus of variations. Rend. Circ. Mat. Palermo (2), 28, 1979, 258–272.

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  8. G.S. GOODMAN, The duality of convex functions and Cesari's property (Q). Journ. Optimization Theory Appl. 19, 1976, 17–23.

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  9. E.H. ROTHE, An existence theorem in the calculus of variations, Arch. Rat. Mech. Anal. 21, 1966, 151–162.

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© 1984 Springer-Verlag

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Cesari, L. (1984). Nonlinear optimization. In: Vinti, C. (eds) Nonlinear Analysis and Optimization. Lecture Notes in Mathematics, vol 1107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101493

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  • DOI: https://doi.org/10.1007/BFb0101493

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13903-4

  • Online ISBN: 978-3-540-39123-4

  • eBook Packages: Springer Book Archive