标题： 具有压缩型映射的可数准度量空间中的固定点理论中的两个开放问题 显示英文标题

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

摘要： 两个在准度量空间的不动点理论中提出的开放问题在[Berinde, V. 和 Choban, M. M.,{\it 广义距离及其相关的度量。 对不动点理论的影响}, Creat. Math. Inform.{\bf 22} (2013), 第1期, 23--32]中被考虑。我们对第一个问题给出了完整的答案，对第二个问题给出了部分答案，并且通过四个非常有趣和全面的例子来说明这些问题的复杂性和相关性。 显示英文摘要

摘要： 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.