Accession Number:

AD0753151

Title:

The Contraction Principle for Multivated Functions.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Robinson,Stephen M.

Report Date:

1972-09-01

Pagination or Media Count:

6.0

Abstract:

In the paper the author generalizes the contraction mapping principle to apply to multivalued functions of a complete metric space into itself. The usual contraction principle is obtained as the special case in which the function involved is required to be single-valued. Author

Descriptors:

• (*FUNCTIONAL ANALYSIS
• CONVEX SETS)
• VECTOR SPACES
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE