Results 11 to 20 of about 186 (57)

Concentration of Product Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2021
We investigate the relation between the concentration and the product of metric measure spaces. We have the natural question whether, for two concentrating sequences of metric measure spaces, the sequence of their product spaces also concentrates.
Kazukawa Daisuke
doaj   +1 more source

Common Fixed Point Theorems Under Strict Contractive Conditions in Fuzzy Metric Spaces

open access: yesAsian Journal of Science and Applied Technology, 2018
Fuzzy sets originally introduced Zadeh. Using Concept of fuzzy sets, various theories regarding giving new concepts of fuzzy metric spaces were considered by various authors.
R. Rani
semanticscholar   +1 more source

Measure of nonhyperconvexity and fixed‐point theorems

open access: yesAbstract and Applied Analysis, Volume 2003, Issue 2, Page 111-119, 2003., 2003
The aim of this paper is to work with the measure of nonhyperconvexity in a similar way as J. Cano (1990) does with the index of nonconvexity. We apply this measure to obtain different extensions of the famous Schauder fixed‐point theorem in hyperconvex spaces.
Dariusz Bugajewski, Rafael Espínola
wiley   +1 more source

Set-valued mappings in partially ordered fuzzy metric spaces

open access: yes, 2014
In this paper, we provide coincidence point and fixed point theorems satisfying an implicit relation, which extends and generalizes the result of Gregori and Sapena, for set-valued mappings in complete partially ordered fuzzy metric spaces. Also we prove
Z. Sadeghi   +4 more
semanticscholar   +1 more source

Quasi‐pseudometrizability of the point open ordered spaces and the compact open ordered spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 385-392, 2001., 2001
We determine conditions for quasi‐pseudometrizability of the point open ordered spaces and the compact open ordered spaces. This generalizes the results on metrizability of the point open topology and the compact open topology for function spaces. We also study conditions for complete quasi‐pseudometrizability.
Koena Rufus Nailana
wiley   +1 more source

A subset of metric preserving functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 409-410, 1998., 1996
In this paper we define a subset of metric preserving functions and give some examples and a characterization ofthis subset.
Robert W. Vallin
wiley   +1 more source

On the inverse image of Baire spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 423-432, 1997., 1996
In 1961, Z. Frolik proved that if f is an open and continuous mapping of a metrizable separable space X onto Baire space Y and if the point inverses are Baire spaces, then X is a Baire space. We give a generalization to semi‐continuous and semi‐open mapping of this theorem and extended it to the several types of mappings.
Mustafa Çiçek
wiley   +1 more source

Convergence and stability of generalized φ-weak contraction mapping in CAT(0) spaces

open access: yesOpen Mathematics, 2017
The aim of this paper is to prove some fixed point results for generalized φ-weak contraction mapping and study a new concept of stability which is called comparably almost T-stable by using iterative schemes in CAT(0) spaces.
Kim Kyung Soo
doaj   +1 more source

THE GENERALIZED PRE-OPEN COMPACT TOPOLOGY ON FUNCTION SPACES

open access: yes, 2017
The aim of this paper is to introduce new topology called generalized pre-open compact topology on the set of all real-valued continuous function on a Tychonoff space and compare this topology with other well-known topologies.
S. Mishra, S. M. Kang, M. Kumar
semanticscholar   +1 more source

Measures of Lindelof and separability in approach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 597-606, 1994., 1993
In this paper we introduce the notions of separability and Lindelöf in approach spaces and investigate their behaviour under products and subspaces.
R. Baekeland, R. Lowen
wiley   +1 more source

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