\(\theta\)-monotone operators and \(\theta\)-convex functions (Q424629)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(\theta\)-monotone operators and \(\theta\)-convex functions |
scientific article; zbMATH DE number 6042565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\theta\)-monotone operators and \(\theta\)-convex functions |
scientific article; zbMATH DE number 6042565 |
Statements
\(\theta\)-monotone operators and \(\theta\)-convex functions (English)
0 references
4 June 2012
0 references
generalized monotone operator
0 references
maximal monotonicity
0 references
locally monotone operator
0 references
generalized convex function
0 references
In the paper, the author presents the new idea of so-called Theta-monotonicity of multivalued operators defined on a real Banach space and the idea of Theta-convex real valued functions, which generalize several similar notions already known in the literature.NEWLINENEWLINE In the subsequent sections of the paper, properties of Theta-monotone operators, maximal Theta-monotone operators, locally Theta-monotone operators, and Theta-convex functions are presented, respectively. It is pointed out that there is a close relation between these two new concepts.NEWLINENEWLINEMoreover, a number of interesting examples concerning monotonicity and convexity are presented.
0 references
