Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617149 | Journal of Mathematical Analysis and Applications | 2012 | 7 Pages |
Abstract
We present how the theory of polynomials can be used to describe the asymptotic behaviour of the sequence of Lipschitz constants for iterates of mean nonexpansive mappings. We find, as consequences, using the Lifshitz theorem, some new fixed point theorems. We also prove that the fixed point set of every mean nonexpansive mapping is closed and convex, provided the Banach space is strictly convex.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Víctor Pérez García, Łukasz Piasecki,