Invariant Pseudolinearity with Applications

Invariant Pseudolinearity with Applications

0.00 Avg rating0 Votes
Article ID: iaor20123941
Volume: 153
Issue: 3
Start Page Number: 587
End Page Number: 601
Publication Date: Jun 2012
Journal: Journal of Optimization Theory and Applications
Authors: ,
Abstract:

In this paper, we introduce the notion of invariant pseudolinearity for nondifferentiable and nonconvex functions by means of Dini directional derivatives. We present some characterizations of invariant pseudolinear functions. Some characterizations of the solution set of a nonconvex and nondifferentiable, but invariant, 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.

Reviews

Required fields are marked *. Your email address will not be published.