Abstract

An elementary, self-contained introduction of so-called M-convergence of subspaces and convex sets is provided, not available in the published literature so far. The aim of this description is to highlight the peculiar expository style of Hedy Attouch which combines insight and deepness with clarity and simplicity.

Author information

Contact details are reproduced from the original publication and may be historical.

Keywords

  • Convergence of functions and operators
  • elementary introduction to M-convergence
  • complementarity systems
  • approximation of variational inequalities

Mathematics Subject Classification

49xx, 74Pxx, 37Mxx

References

  1. H. Attouch: Familles d’opérateurs maximaux monotone et mesurabilité, Ann. Mat. Pura Appl., Serie IV 120 (1979) 35–111.https://doi.org/10.1007/BF02411939Google Scholar
  2. H. Attouch: Variational Convergence for Functions and Operators, Pitman Advanced Publishing Program 19, Pitman, London (1984).Google Scholar
  3. S. H. Gould: Variational Methods for Eigenvalue Problems, Mathematical Expositions Vol. 10, University of Toronto Press, Toronto (1966).https://doi.org/10.3138/9781487596002Google Scholar
  4. U. Mosco: Convergence of convex sets and of solutions of variational inequalities, Adv. Math. 3/4 (1969) 510–585.https://doi.org/10.1016/0001-8708(69)90009-7Google Scholar
  5. U. Mosco: On the continuity of the Young-Fenchel transformations, J. Math. Anal. Appl. 35 (1971) 518–535.https://doi.org/10.1016/0022-247X(71)90200-9Google Scholar
  6. U. Mosco: An Introduction to the Approximate Solutions of Variational Inequalities, Lecture Notes CIME, Erice 1971, Cremonese, Roma (1973).Google Scholar
  7. U. Mosco: An elementary introduction to fractal analysis, in: Nonlinear Analysis and Applications to Physical Sciences, V. Benci et al. (eds.), Lectures from the Summer School at Pistoia (2002), Springer, Milano (2004) 51–90.Google Scholar
  8. U. Mosco, F. Scarpini: Complementarity systems and approximation of variational inequalities, RAIRO R-1 (1975) 83–104.https://doi.org/10.1051/m2an/197509R100831Google Scholar
  9. W. Rudin: Principles of Mathematical Analysis, International Series in Pure and Applied Mathematics, McGraw-Hill, New York (1953).Google Scholar

Suggested citation

U. Mosco. “Remembering Hedy Attouch.” Journal of Convex Analysis 33 (2026), No. 3&4, 983–1011. https://doi.org/10.68381/jca33053

Download BibTeXPublished by Heldermann Verlag.

Published by Heldermann Verlag, 2026. Rights now held by Banach Press LLC.