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Open AccessArticle

Informal Complete Metric Space and Fixed Point Theorems

Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan
Axioms 2019, 8(4), 126; https://doi.org/10.3390/axioms8040126
Received: 19 October 2019 / Revised: 2 November 2019 / Accepted: 2 November 2019 / Published: 7 November 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
The concept of informal vector space is introduced in this paper. In informal vector space, the additive inverse element does not necessarily exist. The reason is that an element in informal vector space which subtracts itself cannot be a zero element. An informal vector space can also be endowed with a metric to define a so-called informal metric space. The completeness of informal metric space can be defined according to the similar concept of a Cauchy sequence. A new concept of fixed point and the related results are studied in informal complete metric space. View Full-Text
Keywords: Cauchy sequence; near fixed point; informal metric space; informal vector space; null set Cauchy sequence; near fixed point; informal metric space; informal vector space; null set
MDPI and ACS Style

Wu, H.-C. Informal Complete Metric Space and Fixed Point Theorems. Axioms 2019, 8, 126.

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