On the local behavior of mappings of metric spaces

2019 ◽  
Vol 244 (1) ◽  
pp. 47-55 ◽  
Author(s):  
Evgeny A. Sevost’yanov ◽  
Sergei A. Skvortsov
Keyword(s):  
Metric Spaces ◽  
Local Behavior

On the local behavior of mappings of metric spaces

2019 ◽  
Vol 16 (2) ◽  
pp. 215-227
Author(s):  
Evgeny Sevost'yanov ◽  
Sergei Skvortsov
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Flat Space ◽  
Local Behavior

We study the mappings of metric spaces that distort the moduli of the families of paths according to the Poletsky inequality. In the case where the mapped domain is a weakly flat space, and the enveloping metric space admits a weak sphericalization, the equicontinuity of the corresponding families of inverse mappings is established. Under some additional conditions, the equicontinuity of the corresponding families of mappings in the closure of their domain of definition has proved.

Local behavior of mappings of metric spaces with branching

2020 ◽  
Vol 17 (4) ◽  
pp. 574-593
Author(s):  
Serhii Skvortsov
Keyword(s):  
Euclidean Space ◽  
Metric Spaces ◽  
Local Behavior ◽  
Compact Closure ◽  
Fixed Domain ◽  
Riemannian Sphere ◽  
Main Inequality

The local behavior of mappings with the inverse Poletsky inequality between metric spaces is studied. The case where one of the spaces satisfies the condition of weak sphericalization, is similar to the Riemannian sphere (extended Euclidean space), and is locally linearly connected under a mapping is considered. It is proved that the equicontinuity of the corresponding families of mappings of two domains, one of which is a domain with a weakly flat boundary, and another one is a fixed domain with a compact closure, the corresponding weight in the main inequality being supposed to be integrable.

scholarly journals Local Behavior of p-harmonic Green’s Functions in Metric Spaces

2009 ◽  
Vol 32 (4) ◽  
pp. 343-362 ◽  
Author(s):  
Donatella Danielli ◽  
Nicola Garofalo ◽  
Niko Marola
Keyword(s):  
Green's Functions ◽  
Metric Spaces ◽  
Green’S Functions ◽  
Local Behavior

Crystallography in two-dimensional metric spaces*

1969 ◽  
Vol 130 (1-6) ◽  
pp. 277-303 ◽  
Author(s):  
Aloysio Janner ◽  
Edgar Ascher
Keyword(s):  
Metric Spaces ◽  
Two Dimensional

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion

ON THE QUANTIFICATION OF UNIFORM PROPERTIES.PART 2

2001 ◽  
Vol 37 (1-2) ◽  
pp. 169-184
Author(s):  
B. Windels
Keyword(s):  
Metric Spaces ◽  
Uniform Spaces ◽  
Complete Metric Spaces ◽  
The Subject

In 1930 Kuratowski introduced the measure of non-compactness for complete metric spaces in order to measure the discrepancy a set may have from being compact.Since then several variants and generalizations concerning quanti .cation of topological and uniform properties have been studied.The introduction of approach uniform spaces,establishes a unifying setting which allows for a canonical quanti .cation of uniform concepts,such as completeness,which is the subject of this article.

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

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