On metric-preserving functions and fixed point theorems
Classical Analysis and ODEs
2014-05-29 v1
Abstract
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.
Cite
@article{arxiv.1405.7259,
title = {On metric-preserving functions and fixed point theorems},
author = {Prapanpong Pongsriiam and Imchit Termwuttipong},
journal= {arXiv preprint arXiv:1405.7259},
year = {2014}
}
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