(PDF) Super metric spaces - ResearchGate
WEBJan 1, 2022 · First, we introduce the concept of quaternion metric spaces which generalizes both real and complex metric spaces. Further, we establish some fixed point theorems in quaternion setting.
Ultrametric space - Wikipedia
WEBIn mathematics, an ultrametric space is a metric space in which the triangle inequality is strengthened to (,) {(,), (,)} for all , , and . Sometimes the associated metric is also called a non-Archimedean metric or super-metric.
Contraction in Rational Forms in the Framework of Super Metric Spaces
WEBAug 26, 2022 · In this paper, we investigate contractions in a rational form in the context of the supermetric space, which is a very interesting generalization of the metric space. We consider an illustrative example to support this new result on supermetric space.
WEBIn this section, we prove the Banach fixed point theorem in super metric spaces. Theorem 2.6. Let (X,m) be a complete super-metric space and let T : X →X be a mapping.
Super metric spaces | KARAPINAR | FILOMAT
WEBSuper metric spaces The aim of this paper is to introduce a new generalization of metric space which fulfills the Hausdorff condition. We indicate that in this new metric space topology, open (respectively, closed) ball is open (respectively, closed) set.
Super metric spaces - Semantic Scholar
WEBSuper metric spaces. E. Karapınar, F. Khojasteh. Published in Filomat 2022. Mathematics. The aim of this paper is to propose a new generalization of metric space which may open a new framework. As an application, we consider the analog of Banach contraction mapping principle that works properly. View via Publisher. doiserbia.nb.rs.
Ćirić-type generalized F-contractions with integral inclusion in super ...
WEBSep 1, 2024 · This study aims to explore Ćirić-type generalized F-contractions, almost F-contractions, and the combination of these contractions in the framework of super metric spaces. These generalizations are significant because they hold where the usual metric conditions mayn’t be fulfilled.
First Results in Suprametric Spaces with Applications
WEBSep 9, 2022 · We introduce the concept of suprametric space and study some basic properties of its topology. Then we show that certain contraction maps in suprametric spaces have a unique fixed point either the space is complete or it contains a nonempty $$\omega $$ -limit set.
EXPANSIVE FIXED POINT RESULTS IN SUPER METRIC SPACES
WEBJun 30, 2023 · Super Metric Spaces are a ground-breaking generalization of metric spaces that were recently developed by Karapinar and Khojasteh (Filomat, in press). In this paper, we initiate the study of...
Introduction to Metric Spaces - MIT OpenCourseWare
WEBLecture 1: Motivation, Intuition, and Examples. Outline: Motivation, definition, and intuition behind metric spaces. Redefining 18.100A Real Analysis and 18.100P Real Analysis in terms of metrics: open/closed sets, convergence, Cauchy sequences, and continuity. Lecture 1: Motivation, Intuition, and Examples (PDF)
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