Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs
In this work we show that if iterates of a nonexpansive self-mapping of a complete metric with a graph converge uniformly on a subset of the space, then this convergence is stable under the presence of small computational errors.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-10-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/12/10/999 |
| _version_ | 1797574737605427200 |
|---|---|
| author | Alexander J. Zaslavski |
| author_facet | Alexander J. Zaslavski |
| author_sort | Alexander J. Zaslavski |
| collection | DOAJ |
| description | In this work we show that if iterates of a nonexpansive self-mapping of a complete metric with a graph converge uniformly on a subset of the space, then this convergence is stable under the presence of small computational errors. |
| first_indexed | 2024-03-10T21:26:34Z |
| format | Article |
| id | doaj.art-8a7d53e29be64b379fb4b3d44b78b0dd |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T21:26:34Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-8a7d53e29be64b379fb4b3d44b78b0dd2023-11-19T15:39:03ZengMDPI AGAxioms2075-16802023-10-01121099910.3390/axioms12100999Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with GraphsAlexander J. Zaslavski0Department of Mathematics, The Technion—Israel Institute of Technology, Haifa 32000, IsraelIn this work we show that if iterates of a nonexpansive self-mapping of a complete metric with a graph converge uniformly on a subset of the space, then this convergence is stable under the presence of small computational errors.https://www.mdpi.com/2075-1680/12/10/999graphfixed pointiteratemetric space |
| spellingShingle | Alexander J. Zaslavski Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs Axioms graph fixed point iterate metric space |
| title | Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs |
| title_full | Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs |
| title_fullStr | Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs |
| title_full_unstemmed | Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs |
| title_short | Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs |
| title_sort | two convergence results for inexact orbits of nonexpansive operators in metric spaces with graphs |
| topic | graph fixed point iterate metric space |
| url | https://www.mdpi.com/2075-1680/12/10/999 |
| work_keys_str_mv | AT alexanderjzaslavski twoconvergenceresultsforinexactorbitsofnonexpansiveoperatorsinmetricspaceswithgraphs |