#### Filter Results:

- Full text PDF available (14)

#### Publication Year

1986

2016

- This year (0)
- Last 5 years (8)
- Last 10 years (17)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Abderrahim Hantoute, Marco A. López, Constantin Zalinescu
- SIAM Journal on Optimization
- 2008

We provide a rule to calculate the subdifferential of the pointwise supremum of an arbitrary family of convex functions defined on a real locally convex topological vector space. Our formula is given exclusively in terms of the data functions, and does not require any assumption either on the index set on which the supremum is taken or on the involved… (More)

- Constantin Zalinescu
- Math. Meth. of OR
- 2008

Several generalizations of the Hahn–Banach extension theorem to K-convex multifunctions were stated recently in the literature. In this note we provide an easy direct proof for the multifunction version of the Hahn–Banach–Kantorovich theorem and show that in a quite general situation it can be obtained from existing results. Then we derive the Yang… (More)

We study the convergence of maximal monotone operators with the help of representations by convex functions. In particular, we prove the convergence of a sequence of sums of maximal monotone operators under a general qualification condition of the Attouch–Brezis type.

- Constantin Zalinescu
- J. Global Optimization
- 2008

When dealing with convex functions defined on a normed vector space X the biconjugate is usually considered with respect to the dual system (X, X∗), that is, as a function defined on the initial space X. However, it is of interest to consider also the biconjugate as a function defined on the bidual X∗∗. It is the aim of this note to calculate the… (More)

In this paper we study and compare the notions of uniform convexity of functions at a point and on bounded sets with the notions of total convexity at a point and sequential consistency of functions, respectively. We establish connections between these concepts of strict convexity in infinite dimensional settings and use the connections in order to obtain… (More)

- M. D. Voisei, Constantin Zalinescu
- Math. Program.
- 2010

A number of rules for the calculus of subdifferentials of generalized convex functions are displayed. The subdifferentials we use are among the most significant for this class of functions, in particular for quasiconvex functions: we treat the Greenberg-Pierskalla’s subdifferential and its relatives and the Plastria’s lower subdifferential. We also deal… (More)

- Constantin Zalinescu
- Zeitschr. für OR
- 1987

- Constantin Zalinescu
- Math. Oper. Res.
- 2003

- Constantin Zalinescu
- Math. Oper. Res.
- 2008

Recently S.A. Clark published an interesting duality result in linear conic programming dealing with a convex cone that is not closed in which the usual (algebraic) dual problem is replaced by a topological dual with the aim to have zero duality gap under certain usual hypotheses met in mathematical finance. We present some examples to show that an extra… (More)