Skip to main content

Part of the book series: Mathematical Concepts and Methods in Science and Engineering ((MCSENG,volume 49))

  • 709 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abadie J. (Ed.), “Nonlinear Programming”. North-Holland, Amsterdam, 1967.

    MATH  Google Scholar 

  2. Abadie J. (Ed.), “Integer and Nonlinear Programming”. North-Holland, Amsterdam, 1970.

    MATH  Google Scholar 

  3. Aigner M. and Ziegler G.M., “Proofs from THE BOOK”. Springer-Verlag, Berlin, 1999.

    Google Scholar 

  4. Antoni C. and Dalena A., “The Fermat-Weber problem and the Lagrangian duality theory”. In “New Trends in Mathematical Programming”, Applied Optimization Series, Vol.13, Kluwer Academic Publ., Dordrecht, Boston, 1998, pp.5–12.

    Google Scholar 

  5. Baiocchi C. and Capelo A., “Variational and Quasivariational Inequalities. Applications to free-boundary problems”. J.Wiley, Chichester, 1984.

    MATH  Google Scholar 

  6. Boltyanski V., Martini H. and Soltan V., “Geometric Methods and Optimization Problems”. Series “Combinatorial Problems”, D.-Z. Du and P.M. Pardalos (Eds.), Kluwer, Dordrecht, Boston, 1999.

    Google Scholar 

  7. Céa J., “Optimisation. Théorie et Algorithmes”. Dunod, Paris, 1971.

    MATH  Google Scholar 

  8. Charnes A. and Greenberg H.J., “Plastic collapse and linear programming. Preliminary report”. Bull.Amer.Math.Soc., Vol.57, No.6, 1951, p.480.

    Google Scholar 

  9. Clarke F.H., Dem’yanov V.F. and Giannessi F. (Eds.), “Nonsmooth Optimization and Related Topics”. Plenum Press, New York, 1989.

    MATH  Google Scholar 

  10. Cohn M.Z. and Maier G. (Eds.), “Engineering Plasticity by Mathematical Programming”. Pergamon Press, New York, 1979.

    MATH  Google Scholar 

  11. Comi C, Maier G. and Perego U., “Generalized variable finite element modeling and extremum theorems in stepwise holonomic elastoplasticity with internal variable”. Comput.Methods Appl.Mech.Eng., Vol.96, 1992, pp.213–237.

    Article  MATH  MathSciNet  Google Scholar 

  12. Conti R., De Giorgi E. and Giannessi F. (Eds.), “Optimization and Related Fields”. Springer-Verlag, Lecture Notes in Mathematics, No. 1190, Berlin, 1986.

    Google Scholar 

  13. Cottle R.W., Giannessi F. and J.-L. Lions (Eds.), “Variational Inequalities and Complementarity Problems”. J.Wiley, Chichester, 1980.

    MATH  Google Scholar 

  14. Cottle R.W., Pang J.-S. and Stone R.E., “The Linear Complementarity Problem”. Academic Press, Boston, 1992.

    MATH  Google Scholar 

  15. De Luca M. and Maugeri A., “Quasi-variational Inequalities and applications to equilibrium problems with elastic demand”. In Dem’yanov V.F. and Giannessi F. (Eds.), “Nonsmooth Optimization and Related Topics”. Plenum Press, New York, 1989 [9], pp.61–77.

    Google Scholar 

  16. Dem’yanov V.F. and Rubinov A., “Quasidifferential Calculus”. Optimization Soft.Inc., New York, 1986.

    Google Scholar 

  17. Di Bacco M., Giannessi F. and Naddeo A., “On testing simple statistical hypotheses”. Annals of Univ. of Venice, Vol.6, Canova Publishing House, Treviso, Italy, 1972, pp.1–61.

    Google Scholar 

  18. Di Pillo G. and Giannessi F. (Eds.), “Nonlinear Optimization and Applications”. Plenum Press, New York, 1996.

    MATH  Google Scholar 

  19. Di Pillo G. and Giannessi F. (Eds.), “Nonlinear Optimization and related topics”. Kluwer Acad. Publishers, Dordrecht, Boston, 2000.

    MATH  Google Scholar 

  20. Du D.-Z. and Pardalos P.M. (Eds.), “Minimax and applications”. Kluwer Acad. Publishers, Dordrecht, Boston, 1995.

    MATH  Google Scholar 

  21. Erdős P., “Open problems”. Jou. of Mathematics and Physics for High School Students, Bolyai Math. Soc., vol.43, n.10, Dec. 1993, pag.444, (in Hungarian).

    Google Scholar 

  22. de Fermat P., “Oevres”, Vol.1, H. Tannery, Paris, 1891, supplement: Paris, 1922. Deutsche Ubersetzug: Abhandlungen űber Maxima und Minima, Hrsg. M.Miller, Ostwalds Klassiker der exakten Wissenschaften, No.238, Leipzig, 1934.

    MATH  Google Scholar 

  23. Ferrero O., “On the convexity of the restriction of a function to an affine manifold and applications”. Rendiconti seminario matematico, Università di Torino, Vol.45, No.2, 1987, pp.25–39, (in Italian).

    MATH  MathSciNet  Google Scholar 

  24. Giannessi F., “Metodi Matematici della Programmazione. Problemi Lineari e non Lineari (Mathematical methods of programming. Linear and nonlinear problems)”. Monograph No.23 of Italian Mathem. Soc.(UMI), Pitagora Publisher, Bologna, 1982, (in Italian).

    MATH  Google Scholar 

  25. Giannessi F. (Ed.), “Nonsmooth Optimization. Methods and applications”. Gordon and Breach, U.K., 1992.

    MATH  Google Scholar 

  26. Giannessi F., “A remark on infinite-dimensional variational inequalities”. Le matematiche, Vol.XLIX, fasc.II, Univ. of Catania, 1994, pp.243–247.

    MathSciNet  Google Scholar 

  27. Giannessi F. (Ed.), “Vector Variational Inequalities and Vector Equilibria. Mathematical Theories”. Series “Nonconvex Optimization and its Applications”, Vol.38, Kluwer Acad.Publishers, Dordrecht, Boston, 2000.

    Google Scholar 

  28. Giannessi F., Jurina L. and Maier G., “Optimal excavation profile for a pipeline freely resting on the sea floor”. Engineering Structures, Vol.1, 1979, pp.81–91.

    Article  Google Scholar 

  29. Giannessi F. and Maier G., “Complementarity Systems and Optimization Problems in Structural Engineering”. Engineering Optimization, Vol.18, 1991, pp.43–66.

    Google Scholar 

  30. Giannessi F., Maier G. and Jurina L., “A quadratic complementarity problem related to the optimal design of a pipeline freely resting on a rough sea bottom”. Engineering Structures, Vol.4, 1982, pp.186–196.

    Article  Google Scholar 

  31. Giannessi F., Maier G. and Nappi A., “Indirect identification of yeld limits by Mathematical Programming”. Engineering Structures, Vol.4, 1982, pp.186–196.

    Article  Google Scholar 

  32. Giannessi F. and Maugeri A. (Eds.), “Equilibrium problems with side constraints. Lagrangian theory and Duality”. Le Matematiche, Dept. of Mathematics, Univ. of Catania, Vol.XLIX, Fasc.II, 1994.

    Google Scholar 

    Google Scholar 

  33. Giannessi F., Rapcsàk T. and Komlosi S. (Eds.), “New Trends in Mathematical Programming”. Kluwer Acad. Publishers, Dordrecht, Boston, 1998.

    MATH  Google Scholar 

  34. Girsanov I.V., “Lectures on mathematical theory of extremum problems”. Lecture Notes in Ec. and Math. Syst., No.67, Springer-Verlag, Berlin and New York, 1972.

    MATH  Google Scholar 

  35. Gruber P.M. and Wills J.M. (Eds.), “Handbook of Convex Geometry”. Vol.A and Vol.B, North-Holland, Amsterdam, 1993.

    MATH  Google Scholar 

  36. Hammer P.L. and Rudeanu S., “Méthodes Boolèennes en recherche opèrationelle”. Dunod, Paris, 1970.

    Google Scholar 

  37. Hancock H., “Theory of maxima and minima”. Dover Publ., New York, 1960.

    Google Scholar 

  38. Horst R. and Tuy H., “Global Optimization”. Springer-Verlag, Berlin, 1990.

    Google Scholar 

  39. Ioffe A.D. Tikhomirov V.M., “Theory of Extremal Problems”. North-Holland, Amsterdam, 1979.

    MATH  Google Scholar 

  40. Isac G., “Complementarity Problems”. Springer-Verlag, Berlin, 1991.

    MATH  Google Scholar 

  41. Jung H.W.E., “Uber die kleinste Kugel, die eine räumliche Figur einschliesst”. Jou.Reine Angew.Math., Vol.123, 1901, pp.241–257.

    MATH  Google Scholar 

  42. Kinderlehrer D. and Stampacchia G., “An introduction to Varational Inequalities and their Application”. Academic Press, New York, 1980.

    Google Scholar 

  43. Kuhn H.W. and Tucker A.W. (Eds), “Linear inequalities and related systems”, Annals of Mathematics Studies, No.38, Princeton Univ. Press, Princeton, N.I., 1956.

    MATH  Google Scholar 

  44. Maier G., Giannessi F., Andreuzzi F., Jurina L. and Taddei F., “Unilateral Contact, elastoplasticity and complementarity with reference to offshore pipeline design”. Series “Computer Methods in Applied Mechanics and Engineering”, Vol. 17–18, North-Holland, Amsterdam, pp.469–495.

    Google Scholar 

  45. Mangasarian O.L., “Nonlinear Programming”. SIAM Monograph in Applied Mathematics, Philadelphia, 1994.

    Google Scholar 

  46. Mastroeni G., “Application of an extremization method to a linear integral of a statistical decision problem”. Jou. of Optimiz. Theory Appls., Vol.109, No.3, 2001, pp.539–556.

    Article  MATH  MathSciNet  Google Scholar 

  47. Maugeri A., “Variational and Quasi-Variational Inequalities in network models. Recent developments on theory and algorithms”. In [V1], pp.195–211.

    Google Scholar 

  48. Maugeri A., “Monotone and Nonmonotone Variational Inequalities”. In [V4], pp.179–184.

    Google Scholar 

  49. Miele A., “Flight Mechanics, Vol.1, Theory of Flights Paths”. Addison-Wesley Publ.Co., Reading, Massachussetts, 1962.

    Google Scholar 

  50. Miele A. and Salvetti A. (Eds.), “Applied Mathematics in Aerospace Science and Engineering”. Plenum Press, New York, 1994.

    MATH  Google Scholar 

  51. Minty G.J., “Monotone (nonlinear) operator in Hilbert space”. Duke Math. Jou., Vol.29,1962, pp.341–346.

    Article  MATH  MathSciNet  Google Scholar 

  52. Neyman J. and Pearson E.S., “On the problem of the most efficient tests of statistical hypotheses”. Philosophical Transactions of the Royal Society of London, Vol.231, pp.289–337, 1933.

    MATH  Google Scholar 

  53. Ortega J.M. and Rheinboldt W.C., “Iterative Solution of Nonlinear Equation in Several Variables”. Academic Press, New York, 1970.

    Google Scholar 

  54. Pappalardo M., “On the connections between optimality conditions, varational inequalities and equilibrium problems”. In Maugeri A. (Eds.), “Equilibrium problems with side constraints. Lagrangian theory and Duality”. Le Matematiche, Dept. of Mathematics, Univ. of Catania, Vol.XLIX, Fasc.II, 1994 [32], pp.333–339.

    Google Scholar 

  55. Ponstein J., “Approaches to the Theory of Optimization”. Cambridge Univ. Press, 1980.

    Google Scholar 

  56. Rapcsák T., “Smooth Nonlinear Optimization in IRn”. Kluwer Acad. Publishers, Dordrecht, Boston, 1997.

    Google Scholar 

  57. Stampacchia G. “Formes bilinéares coercitives sur les ensembles convexes”. Comptes Rendus Acad.Sci.Paris, Vol.258, 1964, pp.4413–4416,.

    MATH  MathSciNet  Google Scholar 

  58. Statnikov R.B., “Multicriteria Design. Optimization and Identification”. Kluwer Acad.Publishers, Dordrecht, Boston, 1999.

    Google Scholar 

  59. Torricelli E., “Opere, Vol.1, Part 2”, Faenza, 1919, pp.90–97; “Opere, Vol.III”, Faenza, 1919, pp.426–431. Also “De maximis et minimis” (in Latin), published in the collection “Pupils of Galileo”, Vol.26.

    Google Scholar 

  60. Wardrop J.C., “Some theoretical aspects of road traffic research”. Proc. Just. Civil Eng., Part II, Vol. 1, 1952, pp. 325–378.

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer Science+Business Media, Inc.

About this chapter

Cite this chapter

(2005). Introduction. In: Constrained Optimization and Image Space Analysis. Mathematical Concepts and Methods in Science and Engineering, vol 49. Springer, Boston, MA . https://doi.org/10.1007/0-387-28020-0_1

Download citation

Publish with us

Policies and ethics