3 papers
math.CA2014
Fixed points of continuous rotative mappings on the real line
Tammatada Pongsriiam, Imchit Termwuttipong
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.CA2014
On metric-preserving functions and fixed point theorems
Prapanpong Pongsriiam, Imchit Termwuttipong
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-pr…
math.CA2013
Remarks on Ultrametrics and Metric-Preserving Functions
Prapanpong Pongsriiam, Imchit Termwuttipong
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 function…