Results 121 to 130 of about 5,184,231 (229)

Integral Menger Curvature and Rectifiability of n-dimensional Borel sets in Euclidean N-space

, 2015
In this thesis we show that an n-dimensional Borel set in Euclidean N-space with finite integral Menger curvature is n-rectifiable, meaning that it can be covered by countably many images of Lipschitz continuous functions up to a null set in the sense of
Meurer, Martin
core   +1 more source

An adaptation of the Vietoris topology for ordered compact sets

Applied General Topology
We introduce a natural topology on powers of a space that is inspired by the Vietoris topology on compact subsets. We then place this topology in context with other product topologies; specifically, we compare this topology with the Tychonoff product ...
Christopher Caruvana, Jared Holshouser
doaj   +1 more source

A common coupled fixed point theorem in intuitionistic Menger metric space [PDF]

Mathematica Moravica, 2016
We establish a common fixed point theorem for mappings under φ-contractive conditions on intuitionistic Menger metric spaces. As an application of our result we study the existence and uniquenes of the solution to a nonlinear Fredholm integral equation ...
Leila Aoua Ben, Aliouche Abdelkrim
doaj  

Fixed point theorem satisfying cyclical conditions in b-Menger spaces

Moroccan Journal of Pure and Applied Analysis, 2019
In this work, we prove a fixed point theorem for mapping with cyclical conditions using comparison function in b-Menger spaces. We support our results by an example.
Mbarki Abderrahim, Oubrahim Rachid
doaj   +1 more source

$\omega$ -cover and related spaces on the vietoris hyperspace $\mathcal F(X)$

Tạp chí Khoa học và Công nghệ
Recently, Tuyen et al. [1] showed that a space  has a $\sigma$-(P)-strong network consisting of cs-covers (resp., $cs^*$-covers) if and only if the hyperspace $\mathcal F(X)$ does, where  is one of the following properties: point finite, point countable,
Nguyen Xuan Truc, Nguyen Thi Hong Phuc, Ong Van Tuyen, Luong Quoc Tuyen   +3 more
doaj   +1 more source

Almost strongly star-Menger and related properties

Applied General Topology
In this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature.
Ricardo Cruz-Castillo, Alejandro Ramírez-Páramo, Jesús F. Tenorio   +2 more
doaj   +1 more source

Some fixed point results in Menger spaces using a control function [PDF]

Surveys in Mathematics and its Applications, 2009
Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. [Bull. Austral. Math.
Krishnapada Das, Binayak S. Choudhury, P.N. Dutta   +2 more
doaj  

Weak infinite-dimensionality in Cartesian products with the Menger Property

, 1995
The Menger Property is a classical covering counterpart to σ-compactness. Assuming the Continuum Hypothesis we construct, for each natural n, a separable metrizable space whose nth power is weakly infinite-dimensional and (n + 1)th power has the Menger ...
Pol, Roman
core   +1 more source

Calculation of the volume of simplex in barycentric coordinates in a multidimensional Euclidean space

Научно-технический вестник информационных технологий, механики и оптики
The paper describes three ways of calculating the k-dimensional volume of the k-dimensional simplex in the n-dimensional Euclidean space (n ≥ k) in the canonical barycentric coordinate system.
M. A. Stepanova
doaj   +1 more source

METRİK VE MENGER UZAYLARDA SABİT NOKTA TEOREMLERİ

, 2010
Bu tezde metrik ve Menger uzayda verilmiş bazı tanım ve teoremler arasındaki ilişkiler incelenmiştir. Daha önce verilmiş bir kapalı (implicit) bağıntıyı sağlayan küme değerli dönüşümler için Caristi seçim teoremine yer verilmiştir.
Erkan KİŞİ
core   +1 more source