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FA ] 2 5 M ar 2 01 6 APPLICATIONS OF UNIFORM ASYMPTOTIC REGULARITY TO FIXED POINT THEOREMS
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2018 |
| Abstract | We show that there are no nontrivial surjective uniformly asymptotically regular mappings acting on a metric space and derive some consequences of this fact. In particular, we prove that a jointly continuous left amenable or left reversible semigroup generated by firmly nonexpansive mappings on a bounded τ -compact subset of a Banach space has a common fixed point, and give a qualitative complement to the Markov-Kakutani theorem. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://export.arxiv.org/pdf/1511.04069 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
