Results 251 to 260 of about 15,516 (285)

Metric convexity of symmetric cones

open access: yesMetric convexity of symmetric cones
openaire  

Conditions of regularity in cone metric spaces

open access: yesApplied Mathematics and Computation, 2011
The authors prove some fixed points results on cone metric spaces for maps satisfying general contractive type conditions. Their results extend some results of \textit{H.-D. Nguyen} [J. Math. Anal. Appl. 187, 76--90 (1994; Zbl 0810.54034)] from metric spaces to Banach space valued cone metric spaces.
Mohsen Alimohammady   +4 more
openaire   +4 more sources

Topology of soft cone metric spaces

open access: yesAIP Conference Proceedings, 2017
In Simsek’s paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric ...
Altıntaş, İsmet   +2 more
openaire   +3 more sources

On the metrizability of cone metric spaces

open access: yesTopology and Its Applications, 2011
We have shown in this paper that a (complete) cone metric space (X,E,P,d) is indeed (completely) metrizable for a suitable metric D. Moreover, given any finite number of contractions f1,…,fn on the cone metric space (X,E,P,d), D can be defined in such a ...
Mohammad-Mehdi Khani
exaly   +2 more sources

Common fixed points in cone metric spaces

open access: yesRendiconti Del Circolo Matematico Di Palermo, 2007
In this paper we consider a notion of g-weak contractive mappings in the setting of cone metric spaces and we give results of common fixed points. This results generalize some common fixed points results in metric spaces and some of the results of Huang ...
Pasquale Vetro, Vetro Pasquale
exaly   +2 more sources

KKM mappings in cone b-metric spaces

open access: yesComputers and Mathematics With Applications, 2011
In this paper we establish some topological properties of the cone b-metric spaces and then improve some recent results about KKM mappings in the setting of a cone b-metric space.
Nawab Hussain
exaly   +2 more sources

Cones of metrics, hemi-metrics and super-metrics

Annals (European Academy of Sciences), 2003
A semi-metric is defined as a function d(x, y) satisfying d(x, x)=0, d(x, y)=d(y, x) and the triangle inequality d(x, z)
Dutour, Mathieu, Deza, Michel
openaire   +3 more sources

On cone metric spaces: A survey

Nonlinear Analysis: Theory, Methods & Applications, 2011
The article is a very useful survey of different results connected with fixed point theorems in cone metric (\(K\)-metric) spaces \((X,d)\) with cone metric \(d(\cdot,\cdot)\) taking values in a cone \(P\) in a Banach space \(E\). In particular, the authors, in a short and easy way, prove that numerous fixed point results in cone metric spaces obtained
Janković, Slobodanka   +2 more
openaire   +1 more source

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