Article ID: | iaor2012651 |
Volume: | 6 |
Issue: | 2 |
Start Page Number: | 241 |
End Page Number: | 251 |
Publication Date: | Feb 2012 |
Journal: | Optimization Letters |
Authors: | Ansari Qamrul, Rezaei Mahboubeh |
Keywords: | linearization, Banach space, Lipschitz functions |
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