Two open problems in the fixed point theory of contractive type mappings on first-countable quasimetric spaces

2016/12/29 by Mitrofan M. Choban, Choban, Mitrofan M., Vasile Berinde +1
Mathematics · Physics and Astronomy · #Fixed Point Theorems Analysis #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1701.00519

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.

Citations

• On Semi-Metric Spaces
• On Quasi-Metric Spaces

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