Discrete approximations of minimization problems. I. Theory
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 11 (7) , 701-719
- https://doi.org/10.1080/01630569008816398
Abstract
In this paper we study the convergence of the infima and of (approximate) solutions of a sequence of minimization problems. It is shown that the main assumptions needed in order to guarantee the requested convergence properties are those of the consistency and the a-regularity of the underlying functionals, conceptions which are well-known from the discretization theory of differential equations. This paper is continued by a second part in which the theoretical results are applied to a number of concrete problems.Keywords
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