Fixed points via a generalized local commutativity
Let g:X→X. The concept of a semigroup of maps which is nearly commutative at g is introduced. We thereby obtain new fixed point theorems for functions with bounded orbit(s) which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, a...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005312 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552885806694400 |
|---|---|
| author | Gerald F. Jungck |
| author_facet | Gerald F. Jungck |
| author_sort | Gerald F. Jungck |
| collection | DOAJ |
| description | Let g:X→X. The concept of a semigroup of maps which
is nearly commutative at g is introduced. We thereby obtain
new fixed point theorems for functions with bounded orbit(s) which
generalize a recent theorem by Huang and Hong, and results by
Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and
others. |
| format | Article |
| id | doaj-art-e049f99cfdcf4b77810dee63d4c8668f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e049f99cfdcf4b77810dee63d4c8668f2025-02-03T05:57:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125849750710.1155/S0161171201005312Fixed points via a generalized local commutativityGerald F. Jungck0Department of Mathematics, Bradley University, Peoria 61625, IL, USALet g:X→X. The concept of a semigroup of maps which is nearly commutative at g is introduced. We thereby obtain new fixed point theorems for functions with bounded orbit(s) which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and others.http://dx.doi.org/10.1155/S0161171201005312 |
| spellingShingle | Gerald F. Jungck Fixed points via a generalized local commutativity International Journal of Mathematics and Mathematical Sciences |
| title | Fixed points via a generalized local commutativity |
| title_full | Fixed points via a generalized local commutativity |
| title_fullStr | Fixed points via a generalized local commutativity |
| title_full_unstemmed | Fixed points via a generalized local commutativity |
| title_short | Fixed points via a generalized local commutativity |
| title_sort | fixed points via a generalized local commutativity |
| url | http://dx.doi.org/10.1155/S0161171201005312 |
| work_keys_str_mv | AT geraldfjungck fixedpointsviaageneralizedlocalcommutativity |