Results 21 to 30 of about 186 (57)
A note on maximally resolvable spaces
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 513-516, 1990., 1989 A.G. El′kin [1] poses the question as to whether any uncountable cardinal number can be the dispersion character of a Hausdorff maximally resolvable space. In this note we prove that every cardinal number ℵ ≥ ℵ1 can be the dispersion character of a metric (hence, maximally resolvable) connected, locally connected space.
V. Tzannes
wiley +1 more source
Kannan-type contractions and fixed points in uniform spaces
, 2011 In uniform spaces, using J-families of generalized pseudodistances, we construct four kinds of contractions of Kannan type and, by techniques based on these generalized pseudodistances, we prove fixed point theorems for such contractions. The results are
K. Wlodarczyk, R. Plebaniak
semanticscholar +1 more source
A quasitopos containing CONV and MET as full subcategories
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 417-438, 1988., 1987 We show that convergence spaces with continuous maps and metric spaces with contractions, can be viewed as entities of the same kind. Both can be characterized by a limit function λ which with each filter ℱ associates a map λℱ from the underlying set to the extended positive real line. Continuous maps and contractions can both be characterized as limit
E. Lowen, R. Lowen
wiley +1 more source
Nonlinear contractive and nonlinear compatible type mappings in Menger probabilistic metric spaces
Journal of Inequalities and Applications, 2014 In this paper some new fixed point theorems for nonlinear contractive type and nonlinear compatible type mapping in complete Menger probabilistic metric spaces are proved. MSC:54E40, 54E35, 54H25.
Yong-kun Tang, Shih-sen Chang, L. Wang
semanticscholar +2 more sources
A NEW PROOF OF THE NAGATA-SMIRNOV METRIZATION THEOREM
, 2017 In this note, I present a new, elementary proof of the Nagata-Smirnov metrization theorem.
A. Andrikopoulos
semanticscholar +1 more source
FIXED FUZZY POINT THEOREMS IN FUZZY METRIC SPACE
, 2016 In this paper, we have established some fixed fuzzy point theorems and common fixed fuzzy point theorems for fuzzy mappings satisfying a contractive type condition other than fuzzy Banach contractive type condition in complete fuzzy metric spaces.2010 ...
S. Mohinta, T. Samanta
semanticscholar +1 more source
Locally n-Connected Compacta and UVn-Maps
Analysis and Geometry in Metric Spaces, 2015 We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-spaces. As a result, we show that for completely metrizable spaces the properties ALCn, LCn and WLCn coincide to each other.
Valov V.
doaj +1 more source
On q`‐Rung Orthopair Neutrosophic Metric Spaces and Topological Properties
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce the novel structure of the q`‐rung orthopair neutrosophic metric space (q`‐RˇONM∧S), which unifies and extends the frameworks of q`‐rung orthopair fuzzy sets and neutrosophic metric spaces. The proposed model incorporates membership, nonmembership, and indeterminacy degrees within a q`‐rung orthopair framework, thereby ...
N. Muthulakshmi +4 more
wiley +1 more source
Necessary and sufficient conditions for distances on the real line
Analysis and Geometry in Metric SpacesWhen dealing with certain mathematical problems, it is sometimes necessary to show that some function induces a metric on a certain space. When this function is not a well renowned example of a distance, one has to develop very particular arguments that ...
Labora Daniel Cao +3 more
doaj +1 more source
On multi-valued maps with images in the space of closed subsets of a metric space
, 2013 A new metric in the space clos(X) of all closed subsets of a metric space X is proposed. This metric, unlike the generalized Hausdorff metric, takes finite values only, and the convergence of a sequence of closed sets Hi, i=1,2,… , with respect to this ...
E. Zhukovskiy, E. Panasenko
semanticscholar +1 more source