Results 11 to 20 of about 683,768 (364)

Complete metric spaces with property (Z) are length metric spaces [PDF]

, 2018
We prove that every complete metric space with property (Z) is a length space. These answers questions posed by Garc a-Lirola, Proch zka and Rueda Zoca, and by Becerra Guerrero, L pez-P rez and Rueda Zoca, related to the structure of Lipschitz-free Banach spaces of metric spaces.
Antonio Avilés, Gonzalo Martínez-Cervantes   +1 more
openalex   +3 more sources

Some problems on selections for hyperspace topologies

Applied General Topology, 2004
The theory of hyperspaces has attracted the attention of many mathematicians who have found a large variety of its applications during the last decades.
Valentin Gutev, Tsugunori Nogura
doaj   +1 more source

Smith theory, L2 cohomology, isometries of locally symmetric manifolds and moduli spaces of curves [PDF]

, 2011
We investigate periodic diffeomorphisms of non-compact aspherical manifolds (and orbifolds) and describe a class of spaces that have no homotopically trivial periodic diffeomorphisms.
Avramidi, Grigori
core   +1 more source

Some ϕ-fixed point results in b-metric spaces with applications

Cumhuriyet Science Journal, 2019
The fixed point theory is the most important topic in mathematics anaysis. This topic has many applications in the different fields. It demonstrates the uniqueness of the existence of a mapping and how it can be found.
Müzeyyen Sangurlu Sezen
doaj   +1 more source

A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]

, 2012
We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain, Delmas, Jean-Francois, Hoscheit, Patrick   +2 more
core   +6 more sources

Two Fixed Point Theorems Concerning F-Contraction in Complete Metric Spaces

Symmetry, 2019
In this paper, we generalize some results of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), Cosentino and Vetro (Filomat 28:4, 2014), and Piri and Kumam (Fixed Point Theory Appl.
O. Popescu, G. Stan
semanticscholar   +1 more source

Canonical Metrics on the Moduli Space of Riemann Surfaces I [PDF]

, 2004
We prove the equivalences of several classical complete metrics on the Teichm\"uller and the moduli spaces of Riemann surfaces. We use as bridge two new K\"ahler metrics, the Ricci metric and the perturbed Ricci metric and prove that the perturbed Ricci ...
Liu, Kefeng, Sun, Xiaofeng, Yau, Shing-Tung   +2 more
core   +2 more sources

Fixed points of a new type of contractive mappings in complete metric spaces

, 2012
In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature.
Dariusz Wardowski
semanticscholar   +1 more source

Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications

Journal of Function Spaces, 2021
In this paper, we introduce the concept of generalized orthogonal F -Suzuki contraction mapping and prove some fixed point theorems on orthogonal b -metric spaces.
Ismat Beg, Gunaseelan Mani, A. Gnanaprakasam   +2 more
semanticscholar   +1 more source

Fixed point theorems for d-complete topological spaces I

International Journal of Mathematics and Mathematical Sciences, 1992
Generalizations of Banach's fixed point theorem are proved for a large class of non-metric spaces. These include d-complete symmetric (semi-metric) spaces and complete quasi-metric spaces.
Troy L. Hicks
doaj   +1 more source