Abstract

In his recent book "From Hahn-Banach to Monotonicity" (Springer-Verlag, Berlin, 2008) S. Simons formulated several open problems. In this short note we give the answer to Problem 11.6 and a short proof to the answer given by R. I. Bot and R. Csetnek to Problem 11.5

Author information

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

Constantin Zălinescu

University "Al. I. Cuza", Faculty of Mathematics, Bd. Copou Nr. 11, 6600 Iaşi, Romania
and: Institute of Mathematics Octav Mayer, Iaşi, Romania

zalinesc@uaic.ro

References

  1. R. I. Boţ, R. Csetnek: On an open problem regarding totally Fenchel unstable functions, Proc. Amer. Math. Soc. 137 (2009) 1801–1805.https://doi.org/10.1090/S0002-9939-08-09738-4Google Scholar
  2. R. I. Boţ, A. Löhne: On totally Fenchel unstable functions in finite dimensional spaces, Math. Program., to appear.Google Scholar
  3. S. Simons: From Hahn–Banach to Monotonicity, Springer, Berlin (2008).Google Scholar
  4. R. T. Rockafellar: Convex Analysis, Princeton University Press, Princeton (1970).https://doi.org/10.1515/9781400873173Google Scholar
  5. C. Zălinescu: Convex Analysis in General Vector Spaces, World Scientific, Singapore (2002).https://doi.org/10.1142/5021Google Scholar

Suggested citation

C. Zălinescu. “On Two Open Problems in Convex Analysis.” Journal of Convex Analysis 16 (2009), No. 3&4, 1035–1038. https://doi.org/10.68381/jca16064

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Published by Heldermann Verlag, 2009. Rights now held by Banach Press.