Results 21 to 30 of about 15,516 (285)
Fixed Point Theorems in Cone Metric Spaces via c-Distance Over Topological Module
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
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Some set-valued and multi-valued contraction results in fuzzy cone metric spaces
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
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Mostow’s lattices and cone metrics on the sphere [PDF]
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.
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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
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Geodesics in the space of Kähler cone metrics, I [PDF]
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
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Iteration of order preserving subhomogeneous maps on a cone [PDF]
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]
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
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Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
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
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Metric Regularity Relative to a Cone
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
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The isometries of the cut, metric and hypermetric cones [PDF]
8 pages, LaTeX, 2 postscript ...
Deza, Antoine +2 more
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