On constraint qualifications in mathematical programming

Abstract

The article is devoted to the condition of R-regularity (Error Bound Property) in problems of mathematical programming. This condition plays an important role in analyzing the convergence of numerical optimization algorithms and it is a fairly general condition of regularity (constraint qualification) in problems of mathematical programming. The article obtains new sufficient conditions for the presence of R-regularity in problems of mathematical programming.

Keywords

• mathematical programming
• constraint qualifications
• error bound