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Various Aspects of Well-Posedness of Optimization Problems

  • Chapter
Recent Developments in Well-Posed Variational Problems

Part of the book series: Mathematics and Its Applications ((MAIA,volume 331))

Abstract

Generally speaking the different notions of well-posedness of a given optimization problem can be divided into two groups. In the first group the notions are based on the behaviour of a prescribed class of sequences of approximate solutions and in the second on the continuous dependence of the (necessarily existing) solution on the data of the problem.

The work was partially supported by the National Found for Scientific Research at the Bulgarian Ministry of Science and Education under Grant Number MM-408/94.

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Authors and Affiliations

  1. Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Block 8, 1113, Sofia, Bulgaria

    J. P. Revalski

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  1. J. P. Revalski
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Editors and Affiliations

  1. Department of Mathematics, University of Milan, Milan, Italy

    Roberto Lucchetti

  2. Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Julian Revalski

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Revalski, J.P. (1995). Various Aspects of Well-Posedness of Optimization Problems. In: Lucchetti, R., Revalski, J. (eds) Recent Developments in Well-Posed Variational Problems. Mathematics and Its Applications, vol 331. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8472-2_10

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  • DOI: https://doi.org/10.1007/978-94-015-8472-2_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4578-2

  • Online ISBN: 978-94-015-8472-2

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