Results 271 to 280 of about 8,116 (301)
Quasi-contraction on a cone metric space
Applied Mathematics Letters, 2009 The authors define and study quasi-contractive mappings on a cone metric space. These mappings are a generalization of Ćirić's quasi-contractions. A lemma and a fixed point theorem are established for such mappings. This result generalizes the results of \textit{L.-G. Huang} and \textit{X. Zhang} [J. Math. Anal. Appl.
Dejan Ilić, Vladimir Rakocevic
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On paracompactness in cone metric spaces
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On cone metric spaces: A survey
Nonlinear Analysis: Theory, Methods & Applications, 2011The 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
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On Equivalent Cone Metric Spaces
Ukrainian Mathematical Journal, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olmez, O., AYTAR, Salih
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On the metrizability of cone metric spaces
Topology and Its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad-Mehdi Khani
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GENERALIZED CONE METRIC SPACES AND ORDERED SPACES
Far East Journal of Applied Mathematics, 2019Summary: 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
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Conditions of regularity in cone metric spaces
Applied Mathematics and Computation, 2011The 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
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Topology of soft cone metric spaces
AIP Conference Proceedings, 2017In 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
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Results with cone metric spaces
Materials Today: Proceedings, 2021Abstract In this paper, the existence and uniqueness of a fixed point in a soft cone metric space are discussed for a single self-mapping using expanding and comparison function in the setting of cone metric space for random operator. These established results improve and modify some existing results in the literature.
Ramakant Bhardwaj +5 more
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Quasi-contractions on a nonnormal cone metric space
Functional Analysis and Its Applications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gajić, Ljiljana, Rakocevic, V.
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