Fixed points of uniformly lipschitzian mappings
Two fixed point theorems for uniformly lipschitzian mappings in metric spaces, due respectively to E. Lifšic and to T.-C. Lim and H.-K. Xu, are compared within the framework of the so-called CAT(0) spaces. It is shown that both results apply in this setting, and that Lifšic's theorem gives a sh...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Journal |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33646854043&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61773 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-61773 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-617732018-09-11T08:58:57Z Fixed points of uniformly lipschitzian mappings S. Dhompongsa W. A. Kirk Brailey Sims Mathematics Two fixed point theorems for uniformly lipschitzian mappings in metric spaces, due respectively to E. Lifšic and to T.-C. Lim and H.-K. Xu, are compared within the framework of the so-called CAT(0) spaces. It is shown that both results apply in this setting, and that Lifšic's theorem gives a sharper result. Also, a new property is introduced that yields a fixed point theorem for uniformly lipschitzian mappings in a class of hyperconvex spaces, a class which includes those possessing property ( P ) of Lim and Xu. © 2005. 2018-09-11T08:58:57Z 2018-09-11T08:58:57Z 2006-08-15 Journal 0362546X 2-s2.0-33646854043 10.1016/j.na.2005.09.044 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33646854043&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61773 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics S. Dhompongsa W. A. Kirk Brailey Sims Fixed points of uniformly lipschitzian mappings |
| description |
Two fixed point theorems for uniformly lipschitzian mappings in metric spaces, due respectively to E. Lifšic and to T.-C. Lim and H.-K. Xu, are compared within the framework of the so-called CAT(0) spaces. It is shown that both results apply in this setting, and that Lifšic's theorem gives a sharper result. Also, a new property is introduced that yields a fixed point theorem for uniformly lipschitzian mappings in a class of hyperconvex spaces, a class which includes those possessing property ( P ) of Lim and Xu. © 2005. |
| format |
Journal |
| author |
S. Dhompongsa W. A. Kirk Brailey Sims |
| author_facet |
S. Dhompongsa W. A. Kirk Brailey Sims |
| author_sort |
S. Dhompongsa |
| title |
Fixed points of uniformly lipschitzian mappings |
| title_short |
Fixed points of uniformly lipschitzian mappings |
| title_full |
Fixed points of uniformly lipschitzian mappings |
| title_fullStr |
Fixed points of uniformly lipschitzian mappings |
| title_full_unstemmed |
Fixed points of uniformly lipschitzian mappings |
| title_sort |
fixed points of uniformly lipschitzian mappings |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33646854043&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61773 |
| _version_ |
1681425683185664000 |