Sufficient conditions for the stability of local minimum points in nonsmooth optimization

Abstract

In this paper a stability theorem of D. H. Hyers [11] is extended to include arbitrary perturbations of the set of feasible points for a nonsmooth mathematical programming problem.

Keywords:

• Nonlinear programming
• stability
• Lipsehitzian functions

AMS 1980 Subject Classifications:

• Primary: 49 A 50
• Secondary: 49 A 52
• Secondary: 90 C 31