Fixed points of continuous rotative mappings on the real line
We show that every continuous rotative mapping on a closed interval has a fixed point. This gives an answer to some open questions raised by Goebel and Koter.
math.CA↗
arXiv subjects
Imchit Termwuttipong
Publications and source records attributed to Imchit Termwuttipong.
On metric-preserving functions and fixed point theorems
Kirk and Shahzad have recently given fixed point theorems concerning local radial contractions and metric transforms. In this article, we replace the metric transforms by metric-preserving functions. This in turn gives several extensions of the main results given by Kirk and Shahzad. Several examples are given. The fixed point sets of metric transforms and metric-preserving functions are also investigated.
math.CA↗
Remarks on Ultrametrics and Metric-Preserving Functions
Functions whose composition with every metric is a metric are said to be metric-preserving. In this article, we investigate a variation of the concept of metric-preserving functions where metrics are replaced by ultrametrics.
math.CA↗