Well-Posedness by Perturbations of Variational Problems

B. Lemaire, C. Ould Ahmed Salem and J. P. Revalski
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B. Lemaire: Université de Montpellier II
C. Ould Ahmed Salem: Université des Sciences et Techniques
J. P. Revalski: Institute of Mathematics and Informatics

Journal of Optimization Theory and Applications, 2002, vol. 115, issue 2, No 6, 345-368

Abstract: Abstract In this paper, we consider the extension of the notion of well-posedness by perturbations, introduced by Zolezzi for optimization problems, to other related variational problems like inclusion problems and fixed-point problems. Then, we study the conditions under which there is equivalence of the well-posedness in the above sense between different problems. Relations with the so-called diagonal well-posedness are also given. Finally, an application to staircase iteration methods is presented.

Keywords: Well-posedness; convex functions; subdifferentials; optimization; maximal monotone operators; Yosida regularization; inclusion; fixed points (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1020840322436

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