Nonsmooth Pseudolinearity

Authors

  • M. M. Rezaei
  • H. Gazor

DOI:

https://doi.org/10.30495/jme.v6i0.147

Keywords:

Invex sets, pseudoinvexity, pseudolinearity limiting subdifferential, solution sets of a program

Abstract

In this paper, we introduce the notion of generalized pseudolinearityfor nondifferentiable and nonconvex but locally Lipschitzfunctions defined on a Banach space. We present some characterizationsof generalized pseudolinear functions. The characterizations ofthe solution set of a convex and nondifferentiable but generalized pseudolinearprogram are obtained. The results of this paper extend variousresults for pseudolinear functions, pseudoinvex functions and pseudolinearfunctions, and also for pseudoinvex programs, pseudolinear programsand pseudolinear programs.

AMS Subject Classification:

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Published

2013-09-14

Issue

Vol. 6

Section

Vol. 6, No. 4, (2012)

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