Accession Number : AD0660504

Title :   COLLECTIVELY COMPACT SETS OF GRADIENT MAPPINGS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Daniel,James W.

Report Date : JUL 1967

Pagination or Media Count : 21

Abstract : Properties of families of functionals whose gradients form collectively compact sets are studied and results are applied to the approximate minimization of functionals. It is shown that under certain conditions limits of points extremizing approximating functionals will extremize the limit functional. (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), NONLINEAR SYSTEMS), (*MAPPING(TRANSFORMATIONS), TOPOLOGY), BANACH SPACE, VECTOR SPACES, HILBERT SPACE, SEQUENCES(MATHEMATICS), CONVERGENCE, FUNCTIONS(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE