Results 21 to 30 of about 15,516 (285)

Fixed Point Theorems in Cone Metric Spaces via c-Distance Over Topological Module

open access: yesInternational Journal of Analysis and Applications, 2023
In 2011, Wang and Guo introduced c-distance in cone metric spaces. The idea of cone metric spaces over topological modules was presented by Branga and Olaru in 2020.
Shallu Sharma   +3 more
doaj   +1 more source

Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

open access: yesJournal of Inequalities and Applications, 2021
This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction ...
Saif Ur Rehman   +4 more
doaj   +1 more source

Mostow’s lattices and cone metrics on the sphere [PDF]

open access: yesAdvances in Geometry, 2015
Abstract In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphic isometry group of complex hyperbolic 2-space. In this paper, we use a description of these lattices given by Thurston in terms of cone metrics on the sphere, which is equivalent to Deligne and Mostow’s description of them using ...
Boadi, Richard K., Parker, John R.
openaire   +3 more sources

Cones of partial metrics

open access: yesContributions to Discrete Mathematics, 2011
A partial semimetric on a set X is a function (x,y)↦p(x,y)∈\RR≥0 satisfying p(x,y)=p(y,x), p(x,y)≥p(x,x) and p(x,z)≤p(x,y)+p(y,z)−p(y,y) for all x,y,z∈X. We study here the polyhedral convex cone PSMETn of all partial semimetrics on n points, using computations done for n≤6.
Michel Deza, Elena Deza
openaire   +1 more source

Geodesics in the space of Kähler cone metrics, I [PDF]

open access: yesAmerican Journal of Mathematics, 2015
In this paper, we study the Dirichlet problem of the geodesic equation in the space of K\"ahler cone metrics ${\cal H}_{\cal B}$; that is equivalent to a homogeneous complex Monge-Amp\`ere equation whose boundary values consist of K\"ahler metrics with cone singularities.
CALAMAI, SIMONE, Kai, Zheng
openaire   +4 more sources

Iteration of order preserving subhomogeneous maps on a cone [PDF]

open access: yes, 2006
We investigate the iterative behaviour of continuous order preserving subhomogeneous maps $f: K\,{\rightarrow}\, K$, where $K$ is a polyhedral cone in a finite dimensional vector space. We show that each bounded orbit of $f$ converges to a periodic orbit
Akian, Marianne   +5 more
core   +1 more source

On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2016
The paper ''Examples in Cone Metric Spaces: A Survey'' had overlooked the fact that -spaces are Banach spaces only for . Here, we show that, for , is not even a normed space .We also pointed out that the domain of the function of Example (1.17) of ...
Abdallah A. Hakawati
doaj   +1 more source

Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem

open access: yesFixed Point Theory and Applications, 2009
Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal.
Thabet Abdeljawad, Erdal Karapinar
doaj   +1 more source

Metric Regularity Relative to a Cone

open access: yesVietnam Journal of Mathematics, 2019
Metric regularity and related properties are powerful tools for dealing with problems of optimization and variational analysis, and its has a long history. Important applications enclose the study of stability of variational systems as well as convergence of Newton's type methods.
Huynh Van Ngai   +2 more
openaire   +2 more sources

The isometries of the cut, metric and hypermetric cones [PDF]

open access: yesJournal of Algebraic Combinatorics, 2006
8 pages, LaTeX, 2 postscript ...
Deza, Antoine   +2 more
openaire   +9 more sources

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