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!
|
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |