Results 11 to 20 of about 23,512 (262)

The metric completion of Outer Space [PDF]

open access: yesGeometriae Dedicata, 2019
We develop the theory of a metric completion of an asymmetric metric space. We characterize the points on the boundary of Outer Space that are in the metric completion of Outer Space with the Lipschitz metric. We prove that the simplicial completion, the subset of the completion consisting of simplicial tree actions, is homeomorphic to the free ...
openaire   +2 more sources

Some problems on selections for hyperspace topologies

open access: yesApplied 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

Coupled fractals in complete metric spaces

open access: yesNonlinear Analysis, 2018
The aim of this paper is to present fixed set theorems, collage type and anticollage type results for single-valued operators T : X × X → X in the framework of a complete metric space X.
Adrian Petru¸sel, Anna Soós
doaj   +1 more source

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

open access: yesCumhuriyet 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

Fixed point theorems for d-complete topological spaces I

open access: yesInternational 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

A Common Fixed Point Theorem in D*-Metric Spaces

open access: yesFixed Point Theory and Applications, 2007
We give some new definitions of D*-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete D∗-metric spaces.
Haiyun Zhou   +2 more
doaj   +1 more source

Matkowski's type theorems for generalized contractions on (ordered) partial metric spaces

open access: yesApplied General Topology, 2011
We obtain extensions of Matkowski's fixed point theorem for generalized contractions of Ciric's type on 0-complete partial metric spaces and on ordered 0-complete partial metric spaces, respectively.
Salvador Romaguera
doaj   +1 more source

Fixed Point Theory in b-convex Metric Spaces

open access: yesJournal of Harbin University of Science and Technology, 2021
b-metric spaces are a kind of generalized metric spaces,which have attracted extensive attention of scholars at home and abroad in recent years. In this paper,the convex structure is firstly introduced in b-metric spaces,and consequently the notion of ...
LI Chao-bo, CHEN Li-li
doaj   +1 more source

STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE

open access: yesUral Mathematical Journal, 2023
In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
doaj   +1 more source

Relation-Theoretic Contraction Principle In Metric Spaces Using Multiplicative Contraction

open access: yesRatio Mathematica, 2023
Alam and Imdad have presented a novel application of the Banach contraction principle on a complete metric spaces with a binary relation. We have extended the concept of binary relation with the multiplicative contraction in a complete metric spaces.
Radha Yadav, Balbir Singh
doaj   +1 more source

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