Results 61 to 70 of about 81,943 (157)

Fixed filter bases of multiplicative contractions on multiplicative metric spaces

Surveys in Mathematics and its Applications, 2023
Summary: Fixed filter base \(\mathbb{B}\) of a mapping \(f\) consists of multiplicative open sets such that for given \(B\in\mathbb{B}\), there is an \(A\in\mathbb{B}\) satisfying \(f(A)\subseteq B\). Also, the constructions of fixed filter bases have been established and some results for fixed filter bases of different types of multiplicative ...
openaire   +2 more sources

Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications

Journal of Inequalities and Applications
The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated mappings. These mappings must satisfy a unique locally contraction in a complete b-multiplicative metric space.
Tahair Rasham, Romana Qadir, Fady Hasan, R. P. Agarwal, Wasfi Shatanawi   +4 more
doaj   +1 more source

Invariant measures whose supports possess the strong open set property [PDF]

Opuscula Mathematica, 2008
Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions on it. If \(P\) is a probability distribution on the maps, and \(K\) is the fractal determined by \(S\), there is a unique Borel probability measure ...
Gerald S. Goodman
doaj  

Multiple sequences in cone metric spaces

, 2014
In this study, we introduce the ordinary and statistical convergence of double and multiple sequences in cone metric spaces. Moreover, the relationships between these convergence types are also invastigated.
ŞAHİNER, AHMET, YILMAZ, NURULLAH
openaire   +2 more sources

On Weak Compatible Mappings, 3-D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application

Journal of Mathematics
The purpose of this work is to investigate the approach to 3-D column graphs in multiplicative generalized metric spaces (MGM-spaces) utilizing single-valued mappings with an application. In MGM-space, we use weakly compatible four self-mappings to prove
Saif Ur Rehman, Muhammad Sohail, Tayyab Mahmood, Hamza Ali Abujabal, Taoufik Moulahi, Muhammad Imran Haider   +5 more
doaj   +1 more source

Lines in metric spaces: universal lines counted with multiplicity

, 2018
The line generated by two distinct points, $x$ and $y$, in a finite metric space $M=(V,d)$, denoted by $\overline{xy}^M$, is the set of points given by $$\overline{xy}^M:=\{z\in V: d(x,y)=|d(x,z)\pm d(z,y)|\}.$$ A 2-set $\{x,y\}$ such that $\overline{xy}^M=V$ is called a universal pair and its associated line a universal line.
Matamala, Martín, Zamora, José
openaire   +3 more sources

Some Unique Fixed Point Theorems in Multiplicative Metric Spaces

, 2014
zavsar and Cevikel(Fixed point of multiplicative contraction mappings on multiplicative metric space.arXiv:1205.5131v1 [math.GN] 23 may 2012)initiated the concept of the multiplicative metric space in such a way that the usual triangular inequality is replaced by "multiplicative triangle inequality $d(x,y)\leq d(x,z).d(z,y)$ for all $x,y,z\in X$". In
Sarwar, Muhammad, Badshah-e-Rome
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Best Proximity Point Theorems on 𝑏 − ¿ Multiplicative Metric Spaces

Indian Journal Of Science And Technology
Objectives: To introduce 𝑏 - multiplicative metric spaces and cyclic multiplicative rational contractions within the framework of best proximity point theorems. Methods: We define 𝑏 - multiplicative metric spaces and prove best proximity point theorems for multiplicative proximal contractions, including the first and second kind, cyclic multiplicative ...
P Joselin Lavino, A Mary Priya Dharsini
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Multiplicative Systems on Ultra-Metric Spaces

, 2010
AMS Subj. Classification: MSC2010: 42C10, 43A50, 43A75 We perform analysis of certain aspects of approximation in multiplicative systems that appear as duals of ultrametric structures, e.g. in cases of local fields, totally disconnected Abelian groups satisfying the second axiom of countability or more general ultrametric spaces that do not necessarily ...
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Some fixed point results in b-multiplicative metric space

, 2020
The desired outcome of this paper is to extend the result of Ali et.al (U.P.B. Sci. Bull. Series A, 79(3):107-116,2017) by applying contractive condition only on a closed ball. Moreover, we obtained some fixed point results satisfying contractive condition on closed ball in b-multiplicative metric space.
Shoaib, Abdullah, Saleem Ullah Khan, Muhammad   +1 more
openaire   +1 more source