Abstract
For a family of conditional minimization problems \(\left\{ {\left\langle {\inf _{x \in X\alpha } F^\alpha (x)} \right\rangle ,\alpha \in A} \right\}\) we obtain a representation of its variational S-limits in terms of pointwise limits of Moreau-Yosida approximations. Bibliography: 4 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. I. Kogut, “VariationalS-convergence of minimization problems. Part I. Definitions and main properties,“Probl. Upravlen. Inf., No. 5, 29–43 (1996).
J. J. Moreau, “Proximite et dualite dans un espace hilbertien,“Bull. Soc. Mat. France.,93, 273–299 (1965).
R. T. Rockafellar, “Characterization of the subdifferentials of convex functions,“Pacific J. Math.,17, 497–510 (1966).
G. Dal Maso,Introduction to Gamma-Convergence,, Birkhauser, Boston (1993).
Additional information
Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 81, 1997, pp. 62–69.
Rights and permissions
About this article
Cite this article
Kogut, P.I. Moreau-yosida approximation of conditional minimization problems and its limit properties. J Math Sci 102, 3775–3781 (2000). https://doi.org/10.1007/BF02680233
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02680233