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Keywords = double controlled metric like spaces

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18 pages, 3035 KiB  
Article
Graphical Views of Intuitionistic Fuzzy Double-Controlled Metric-Like Spaces and Certain Fixed-Point Results with Application
by Umar Ishtiaq, Naeem Saleem, Fahim Uddin, Salvatore Sessa, Khaleel Ahmad and Ferdinando di Martino
Symmetry 2022, 14(11), 2364; https://doi.org/10.3390/sym14112364 - 9 Nov 2022
Cited by 17 | Viewed by 1885
Abstract
In this article, we establish the concept of intuitionistic fuzzy double-controlled metric-like spaces by “assuming that the self-distance may not be zero”; if the value of the metric is zero, then it has to be “a self-distance”. We derive numerous fixed-point results for [...] Read more.
In this article, we establish the concept of intuitionistic fuzzy double-controlled metric-like spaces by “assuming that the self-distance may not be zero”; if the value of the metric is zero, then it has to be “a self-distance”. We derive numerous fixed-point results for contraction mappings. In addition, we provide several non-trivial examples with their graphical views and an application of integral equations to show the validity of the proposed results. Full article
(This article belongs to the Special Issue Elementary Fixed Point Theory and Common Fixed Points)
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12 pages, 273 KiB  
Article
Fixed Point Results for a New Rational Contraction in Double Controlled Metric-like Spaces
by Jia Deng, Xiaolan Liu, Yan Sun and Mi Zhou
Mathematics 2022, 10(9), 1439; https://doi.org/10.3390/math10091439 - 24 Apr 2022
Cited by 2 | Viewed by 1807
Abstract
In this paper, we present a new type of rational contraction in double controlled metric-like spaces and improve recent results of such spaces. Moreover, there is an example to verify the correctness of our results. Finally, we also obtain some new fixed point [...] Read more.
In this paper, we present a new type of rational contraction in double controlled metric-like spaces and improve recent results of such spaces. Moreover, there is an example to verify the correctness of our results. Finally, we also obtain some new fixed point results, which can be derive directly from our main theorem. Full article
(This article belongs to the Special Issue New Progress in General Topology and Its Applications)
11 pages, 364 KiB  
Article
Double Controlled Quasi Metric Like Spaces
by Salma Haque, Asma Karoui Souayah, Nabil Mlaiki and Doaa Rizk
Symmetry 2022, 14(3), 618; https://doi.org/10.3390/sym14030618 - 19 Mar 2022
Cited by 4 | Viewed by 2121
Abstract
In this article, we present a generalization of the double controlled metric like spaces, called quasi double controlled metric like spaces, by assuming that the symmetric condition is not necessary satisfied. Moreover, the self distance is not necessary zero. Full article
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