A Generalized Contraction Mapping Theorem in E-Metric Spaces,
Abstract
The paper addresses itself to general theorems on the convergence of a sequence generated via (x sub (n+1)) = F(x sub n) to a fixed point of the operator F; the best known such theorem is the so-called contraction mapping theorem of Banach. Here the author proves two main theorems which include as special cases many previous generalizations of Banach's theorem. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0744055
Entities
People
- James W. Daniel
Organizations
- University of Texas at Austin