第一可数拟距离空间上压缩型映象不动点理论中的两个公开问题
Two open problems in the fixed point theory of contractive type mappings on first-countable quasimetric spaces
摘要:
拟度量空间的不动点理论中的两个公开问题[Berinde,V. and Choban,M. M.,{ \it广义距离及其相关度量。对不动点理论的冲击,创造了。数学。信息。{ \bf 22}(2013),no. 1,23- 32]。我们给出了一个完整的答案的第一个问题,部分答案的第二个,也说明了这些问题的复杂性和相关性,通过四个非常有趣和全面的例子。
英文摘要:
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.
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