Digital fixed points, approximate fixed points, and universal functions
A. Rosenfeld [23] introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2016-10-01
|
| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/4704 |
| _version_ | 1828384124752101376 |
|---|---|
| author | Laurence Boxer Ozgur Ege Ismet Karaca Jonathan Lopez Joel Louwsma |
| author_facet | Laurence Boxer Ozgur Ege Ismet Karaca Jonathan Lopez Joel Louwsma |
| author_sort | Laurence Boxer |
| collection | DOAJ |
| description | A. Rosenfeld [23] introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such images. In the current paper, we obtain additional results concerning fixed points and approximate fixed points of digitally continuous functions. Among these are several results concerning the relationship between universal functions and the approximate fixed point property (AFPP). |
| first_indexed | 2024-12-10T04:59:26Z |
| format | Article |
| id | doaj.art-8af83e29e2164c99b64e1a68b1e72b41 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-10T04:59:26Z |
| publishDate | 2016-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-8af83e29e2164c99b64e1a68b1e72b412022-12-22T02:01:26ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472016-10-0117215917210.4995/agt.2016.47044842Digital fixed points, approximate fixed points, and universal functionsLaurence Boxer0Ozgur Ege1Ismet Karaca2Jonathan Lopez3Joel Louwsma4Niagara University, USACelal Bayar UniversityEge UniversityCanisius CollegeNiagara UniversityA. Rosenfeld [23] introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such images. In the current paper, we obtain additional results concerning fixed points and approximate fixed points of digitally continuous functions. Among these are several results concerning the relationship between universal functions and the approximate fixed point property (AFPP).http://polipapers.upv.es/index.php/AGT/article/view/4704digital imagedigitally continuousdigital topologyfixed point |
| spellingShingle | Laurence Boxer Ozgur Ege Ismet Karaca Jonathan Lopez Joel Louwsma Digital fixed points, approximate fixed points, and universal functions Applied General Topology digital image digitally continuous digital topology fixed point |
| title | Digital fixed points, approximate fixed points, and universal functions |
| title_full | Digital fixed points, approximate fixed points, and universal functions |
| title_fullStr | Digital fixed points, approximate fixed points, and universal functions |
| title_full_unstemmed | Digital fixed points, approximate fixed points, and universal functions |
| title_short | Digital fixed points, approximate fixed points, and universal functions |
| title_sort | digital fixed points approximate fixed points and universal functions |
| topic | digital image digitally continuous digital topology fixed point |
| url | http://polipapers.upv.es/index.php/AGT/article/view/4704 |
| work_keys_str_mv | AT laurenceboxer digitalfixedpointsapproximatefixedpointsanduniversalfunctions AT ozgurege digitalfixedpointsapproximatefixedpointsanduniversalfunctions AT ismetkaraca digitalfixedpointsapproximatefixedpointsanduniversalfunctions AT jonathanlopez digitalfixedpointsapproximatefixedpointsanduniversalfunctions AT joellouwsma digitalfixedpointsapproximatefixedpointsanduniversalfunctions |