Abstract
In this paper, we introduce the notion of generalized pseudolinearity for nondifferentiable and nonconvex but locally Lipschitz functions defined on a Banach space. We present some characterizations of generalized pseudolinear functions. The characterizations of the solution set of a nonconvex and nondifferentiable but generalized pseudolinear program are obtained. The results of this paper extend various results for pseudolinear functions, pseudoinvex functions and η-pseudolinear functions, and also for pseudoinvex programs, pseudolinear programs and η-pseudolinear programs.
| Original language | English |
|---|---|
| Pages (from-to) | 241-251 |
| Number of pages | 11 |
| Journal | Optimization Letters |
| Volume | 6 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2012 |
| Externally published | Yes |
Keywords
- Clarke's generalized subdifferential
- Generalized pseudolinearity
- Invex sets
- Pseudoinvexity
- Solution sets of a program
ASJC Scopus subject areas
- Control and Optimization