Finite-dimensional optimality conditions: B-gradients

  • J. S. Treiman
Contributed Papers

DOI: 10.1007/BF00939634

Cite this article as:
Treiman, J.S. J Optim Theory Appl (1989) 62: 139. doi:10.1007/BF00939634


The B-gradients are a convex set of generalized gradients contained in Clarke's generalized gradients. These gradients retain many of the nice properties of Clarke's generalized gradients. In this paper, necessary conditions for optimality in finite-dimensional perturbed optimization problems are given. A calmness condition is used for a constraint qualification.

Key Words

Optimality conditionsvalue functionmathematical programminggeneralized gradientsoptimization

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • J. S. Treiman
    • 1
  1. 1.Department of Mathematics and StatisticsWestern Michigan UniversityKalamazoo