Results 41 to 50 of about 5,912,088 (357)
The Calabi metric for the space of Kähler metrics [PDF]
Mathematische Annalen, 2011 Given any closed Kaehler manifold we define, following an idea by Eugenio Calabi, a Riemannian metric on the space of Kaehler metrics regarded as an infinite dimensional manifold. We prove several geometrical features of the resulting space, some of which we think were already known to Calabi.
openaire +5 more sources
Mathematics, 2019 Recently, George et al. (in Georgea, R.; Radenovicb, S.; Reshmac, K.P.; Shuklad, S. Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl.
Tahair Rasham +2 more
doaj +1 more source
On the complex valued metric-like spaces [PDF]
arXiv, 2022 The main purpose of this paper is to study complex valued metric-like spaces as an extension of metric-like spaces, complex valued partial metric spaces, partial metric spaces, complex valued metric spaces and metric spaces. In this article, the concepts such as quasi-equal points, completely separate points, convergence of a sequence, Cauchy sequence,
arxiv
Rectangular b-metric space and contraction principles
, 2015 The concept of rectangular b-metric space is introduced as a generalization of metric space, rectangular metric space and b-metric space. An analogue of Banach contraction principle and Kannan's xed point theorem is proved in this space.
Reny George Reny Kunnelchacko +3 more
semanticscholar +1 more source
No Fuss Distance Metric Learning Using Proxies [PDF]
IEEE International Conference on Computer Vision, 2017 We address the problem of distance metric learning (DML), defined as learning a distance consistent with a notion of semantic similarity. Traditionally, for this problem supervision is expressed in the form of sets of points that follow an ordinal ...
Yair Movshovitz-Attias +4 more
semanticscholar +1 more source
Nonlinear contractions involving simulation functions in a metric space with a partial order
, 2015 Very recently, Khojasteh, Shukla and Radenović [F. Khojasteh, S. Shukla, S. Radenović, Filomat, 29 (2015), 1189–1194] introduced the notion of Z-contraction, that is, a nonlinear contraction involving a new class of mappings namely simulation functions ...
Hajer Argoubi, B. Samet, C. Vetro
semanticscholar +1 more source
A generalized metric space and related fixed point theorems
, 2015 We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result ...
M. Jleli, B. Samet
semanticscholar +1 more source
Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph
, 2015 In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces.
M. Alfuraidan, M. Khamsi
semanticscholar +1 more source
Fixed Point Results for (ψ, ϕ)-Contractive Mapping in GF-Metric Space
Ratio MathematicaThe main goal of this work is to present GF -metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗ -metric spaces and the class ...
Kapil Jain +2 more
doaj +1 more source
Extended rectangular fuzzy b-metric space with application
AIMS Mathematics, 2022 In this paper, we introduce an extended rectangular fuzzy b-metric space which generalizes rectangular fuzzy b-metric space and rectangular fuzzy metric space. We show that an extended rectangular fuzzy b-metric space is not Hausdorff.
Naeem Saleem +3 more
doaj +1 more source