Results 261 to 270 of about 40,741 (301)

Sequences of Contractions in a Generalized Metric Space

open access: yesCanadian Mathematical Bulletin, 1970
The main aim of this paper is to study the convergence of a sequence of contractions in a generalized metric space. More specifically, we investigate the following question:"If a sequence of contractions {fr} with fixed points ur (r = 1,2,...) converges to a mapping f with a fixed point u, under what conditions will the sequence ur converge to u?"A ...
C. W. Norris
openaire   +2 more sources

Generalized contractions on partial metric spaces

open access: yesTopology and Its Applications, 2010
In the present paper, we give some fixed point theorems for generalized contractive type mappings on partial metric space.
Ishak Altun
exaly   +2 more sources

GENERALIZED CONE METRIC SPACES AND ORDERED SPACES

Far East Journal of Applied Mathematics, 2019
Summary: In this paper, we introduce a notion of generalized cone metric spaces and give some basic properties from the perspective of order theory. In particular, we show that every generalized cone metric space can be embedded in a partially ordered space so that convergence in the generalized cone metric space can be obtained from order convergence.
Zhang, Wei, Ouyang, Chenxi
openaire   +1 more source

Generalized metric spaces: A survey

Journal of Fixed Point Theory and Applications, 2015
This expository article gives a survey of the following generalizations of metric spaces: pseudometric spaces, quasi-metric spaces, semimetric spaces, metric spaces over graphs, \(b\)-metric spaces, vector-valued metric, in particular, cone metric spaces, 2-metric spaces, \(G\)-metric spaces, partially ordered metric spaces, modular and pseudomodular ...
openaire   +1 more source

Subspaces of a Generalized Metric Space

Canadian Journal of Mathematics, 1959
In a paper published in 1956, Rund (4) developed the differential geometry of a hypersurface of n— 1 dimensions imbedded in a Finsler space of n dimensions, considered as locally Minkowskian.The purpose of the present paper is to provide an extension of the results of (4) and thus develop a theory for the case of m-dimensional subspaces imbedded in a ...
openaire   +2 more sources

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