Results 41 to 50 of about 184,969 (228)

On Constant Metric Dimension of Some Generalized Convex Polytopes

open access: yesJournal of Mathematics, 2021
Metric dimension is the extraction of the affine dimension (obtained from Euclidean space Ed) to the arbitrary metric space. A family ℱ=Gn of connected graphs with n≥3 is a family of constant metric dimension if dimG=k (some constant) for all graphs in ...
Xuewu Zuo   +5 more
doaj   +1 more source

Iterating Fixed Point via Generalized Mann’s Iteration in Convex b-Metric Spaces with Application

open access: yesComplexity, 2021
This manuscript investigates fixed point of single-valued Hardy-Roger’s type F-contraction globally as well as locally in a convex b-metric space. The paper, using generalized Mann’s iteration, iterates fixed point of the abovementioned contraction ...
A. Asif   +4 more
doaj   +1 more source

A Strong Law of Large Numbers for Random Sets in Fuzzy Banach Space

open access: yesAdvances in Fuzzy Systems, 2020
The main purpose of this paper is to consider the strong law of large numbers for random sets in fuzzy metric space. Since many years ago, limited theorems have been expressed and proved for fuzzy random variables, but despite the uncertainty in fuzzy ...
R. Ghasemi, A. Nezakati, M. R. Rabiei
doaj   +1 more source

Improving KKM Theory on General Metric Type Spaces

open access: yesTopological Algebra and its Applications, 2021
A generalized metric type space is a generic name for various spaces similar to hyperconvex metric spaces or extensions of them. The purpose of this article is to introduce some KKM theoretic works on generalized metric type spaces and to show that they ...
Park Sehie
doaj   +1 more source

F-Convex Contraction via Admissible Mapping and Related Fixed Point Theorems with an Application

open access: yesMathematics, 2018
In this paper, we introduce F-convex contraction via admissible mapping in the sense of Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces.
Y. Mahendra Singh   +2 more
doaj   +1 more source

Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings

open access: yesAxioms, 2023
We analyze the asymptotic behavior of infinite products of non-linear operators which take a non-empty, closed subset of a complete metric space into the space, taking into account summable computational errors.
Alexander J. Zaslavski
doaj   +1 more source

Fixed points of condensing multivalued maps in topological vector spaces

open access: yesFixed Point Theory and Applications, 2004
With the aid of the simplicial approximation property, we show that every admissible multivalued map from a compact convex subset of a complete metric linear space into itself has a fixed point.
In-Sook Kim
doaj   +2 more sources

The intrinsic geometry of a convex surface in Galilean space

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
This paper investigates the intrinsic geometry of a convex surface in the Galilean space. The Galilean space, as a special case of a pseudo-Euclidean space, possesses a degenerate metric.
A. Artykbaev, B.M. Sultanov
doaj   +1 more source

Some fixed point theorems in logarithmic convex structures [PDF]

open access: yesMathematica Bohemica, 2017
In this paper, we introduce the concept of a logarithmic convex structure. Let $X$ be a set and $D\colon X\times X\rightarrow[1,\infty)$ a function satisfying the following conditions: \item{(i)} For all $x,y\in X$, $ D(x,y)\geq1$ and $D(x,y)=1$ if and ...
Alireza Moazzen   +3 more
doaj   +1 more source

A universal bound on the variations of bounded convex functions [PDF]

open access: yes, 2015
Given a convex set $C$ in a real vector space $E$ and two points $x,y\in C$, we investivate which are the possible values for the variation $f(y)-f(x)$, where $f:C\longrightarrow [m,M]$ is a bounded convex function. We then rewrite the bounds in terms of
Kwon, Joon
core  

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