Two open problems in the fixed point theory of contractive type mappings on first-countable quasimetric spaces
General Mathematics
2017-01-04 v1
Abstract
Two open problems in the fixed point theory of quasi metric spaces posed in [Berinde, V. and Choban, M. M., {\it Generalized distances and their associate metrics. Impact on fixed point theory}, Creat. Math. Inform. {\bf 22} (2013), no. 1, 23--32] are considered. We give a complete answer to the first problem, a partial answer to the second one, and also illustrate the complexity and relevance of these problems by means of four very interesting and comprehensive examples.
Keywords
Cite
@article{arxiv.1701.00519,
title = {Two open problems in the fixed point theory of contractive type mappings on first-countable quasimetric spaces},
author = {Mitrofan M. Choban and Vasile Berinde},
journal= {arXiv preprint arXiv:1701.00519},
year = {2017}
}