Vector variational principle

By Ewa M. Bednarczuk, Dariusz Zagrodny. 2009

58 citations recorded by the source corpus.

We prove an Ekeland’s type vector variational principle for monotonically semicontinuous mappings with perturbations given by a convex bounded subset of directions multiplied by the distance function. This generalizes the existing results where directions of perturbations are singletons.

Subfields: Applied Mathematics, Civil and Structural Engineering, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/e9f7bc473bed3ece2b74e8707331726ea94281e4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Christiane Tammer
2. Constantin Zalinescu
3. Patrick L. Combettes
4. Heinz H. Bauschke
5. Andreas H. Hamel
6. Birgit Rudloff
7. Xianfu Wang
8. Jean-Christophe Pesquet

In Civil and Structural Engineering

1. Constantin Zalinescu
2. Christiane Tammer
3. Zachary Feinstein

In Computational Theory and Mathematics

1. Constantin Zalinescu
2. Christiane Tammer
3. Andreas H. Hamel
4. Patrick L. Combettes
5. Heinz H. Bauschke
6. Marius Durea
7. Birgit Rudloff
8. Xianfu Wang

Citations in the corpus

• Vector variational principles for set-valued functions (2011, background): “Very recently d ðx, x0Þk0 was replaced by d ðx, x0ÞH with H a bounded convex subset of K (see [4]) or by Fðx, x0Þ K, F being a so-called K-metric [12]; in both papers one deals with functions f :X!Y.”