Open AccessDouble controlled quasi metric-like spaces and some topological properties of this space
Author(s) -
Ahmed M. Zidan,
Z. Mostefaoui
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021672
Subject(s) - metric space , mathematics , metric (unit) , zero (linguistics) , injective metric space , extension (predicate logic) , pure mathematics , convex metric space , space (punctuation) , topology (electrical circuits) , intrinsic metric , uniform continuity , discrete mathematics , combinatorics , computer science , linguistics , operations management , philosophy , economics , programming language , operating system
In present paper, we introduce a new extension of the double controlled metric-like spaces, so called double controlled quasi metric-like spaces "assuming that the self-distance may not be zero". Also, if the value of the metric is zero, then it has to be "a self-distance". After that, by using this new type of quasi metric spaces, we generalize many results in the literature and we prove fixed point theorems along with some examples illustrating.