Convergence Properties of Local Solutions of Sequences of Mathematical Programming Problems.
Abstract
The paper gives several sets of sufficient conditions that a local solution x sup k exists of the problem minimize f sup k (x) subject to x(epsilon)(R sup k) for k = 1, 2, 3,... such that (x sup k) has cluster points that are local solutions of a problem of the form minimize f(x) subject to x epsilon R. It is assumed that f(x) is a continuous real-valued function and that the underlying space is any space X on which there has been defined a notion of convergence. The concern in this paper is with the development of basic existence theorems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0727700
Entities
People
- Anthony V. Fiacco