Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
τ-metric spaces and convergence
View through CrossRef
In this paper, based on the meaning of ?-metric space we study the notion of convergence and ideal convergence on this field of spaces and investigate their properties, comparing it also with the usual notions of convergence and ideal convergence on metric spaces. Especially, we study the meaning of convergence on ?-metric spaces, giving new characterizations for this notion, new results for complete ?-metric spaces and new notions of compactness and totally boundedness on such spaces. We also prove theorems that enrich a related theory. Finally, we insert and study the meaning of ideal convergence on ?-metric spaces, giving also new characterizations and investigate its behavior under the view of classical meaning of ideal convergence.
Title: τ-metric spaces and convergence
Description:
In this paper, based on the meaning of ?-metric space we study the notion of convergence and ideal convergence on this field of spaces and investigate their properties, comparing it also with the usual notions of convergence and ideal convergence on metric spaces.
Especially, we study the meaning of convergence on ?-metric spaces, giving new characterizations for this notion, new results for complete ?-metric spaces and new notions of compactness and totally boundedness on such spaces.
We also prove theorems that enrich a related theory.
Finally, we insert and study the meaning of ideal convergence on ?-metric spaces, giving also new characterizations and investigate its behavior under the view of classical meaning of ideal convergence.
Related Results
A Touch of Space Weather - Outreach project for visually impaired students
A Touch of Space Weather - Outreach project for visually impaired students
<p><em><span data-preserver-spaces="true">'A Touch of Space Weather' is a project that brings space weather science into...
A Comprehensive Review of Fixed Point Theorems on Various Metric Spaces and Their Applications
A Comprehensive Review of Fixed Point Theorems on Various Metric Spaces and Their Applications
Aronszajn and Panitchpakdi developed hyperconvex metric spaces to expand Hahn-theorem Banach's beyond the real line to more generic spaces. The aim of this short article is to coll...
Concerning Fuzzy b-Metric Spaces †
Concerning Fuzzy b-Metric Spaces †
In an article published in 2015, Hussain et al. introduced a notion of a fuzzy b-metric space and obtained some fixed point theorems for this kind of space. Shortly thereafter, Năd...
Expansion mapping in controlled metric space and extended B-metric space
Expansion mapping in controlled metric space and extended B-metric space
This paper delves into the intricate study of expansion mappings within the frameworks of controlled metric spaces and extended B-metric spaces. Expansion mappings, known for their...
Unbounded Star Convergence in Lattices
Unbounded Star Convergence in Lattices
Let L be a vector lattice, "(" x_α ") " be a L-valued net, and x∈L . If |x_α-x|∧u→┴o 0 for every u ∈〖 L〗_+ then it is said that the net "(" x_α ")" unbounded order converges ...
A comparative study of mappings in metric space and controlled metric space
A comparative study of mappings in metric space and controlled metric space
The objective of this paper is to present a comparative study of mapping in Metric Space and Controlled Metric Space. The study provides the structure, gap analysis and application...
On generalized contraction in complex-valued metric spaces
On generalized contraction in complex-valued metric spaces
The concept of complex-valued metric spaces has had a significant impact on research in fixed point theory. Although complex-valued metric spaces represent a distinct category of c...
Convergence des ensembles analytiques et des applications méromorphes
Convergence des ensembles analytiques et des applications méromorphes
L'objectif de cette thèse, est l'étude de la convergence d'applications méromorphes entre deux variétés U et X. D'abord nous rappelons trois types de convergence d'applications mér...