Accession Number : AD0758283

Title :   Continuous Dependence of Fixed Points of Condensing Maps,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Hale,Jack K.

Report Date : 1973

Pagination or Media Count : 11

Abstract : Many problems in analysis are concerned with the dependence upon parameters of fixed points of maps. For contraction mappings, criteria are relatively easy to obtain and have been known for some time. In the study of solutions of functional differential equations, more general results were needed. It is the purpose of this paper to give a rather general fixed-point theorem for condensing maps depending on a parameter, to prove continuous dependence and to indicate how many of the previous results are special cases. (Author)

Descriptors :   (*MAPPING(TRANSFORMATIONS), THEOREMS), BANACH SPACE, SET THEORY, DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE