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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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Cone metric spaces and fixed point theorems of contractive mappings
Journal of Mathematical Analysis and Applications, 2007 In this paper we introduce cone metric spaces, prove some fixed point theorems of contractive mappings on cone metric ...
Huang, Long-Guang, Zhang, Xian
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A note on the equivalence of some metric and cone metric fixed point results
Applied Mathematics Letters, 2011 In the present work, using Minkowski functionals in topological vector spaces, we establish the equivalence between some fixed point results in metric and in (topological vector space) cone metric spaces. Thus, a lot of results in the cone metric setting
Zoran Kadelburg +2 more
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On the Extreme Rays of the Metric Cone
Canadian Journal of Mathematics, 1980A classical result in the theory of convex polyhedra is that every bounded polyhedral convex set can be expressed either as the intersection of half-spaces or as a convex combination of extreme points. It is becoming increasingly apparent that a full understanding of a class of convex polyhedra requires the knowledge of both of these characterizations.
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Fixed and periodic point results in cone metric spaces
Applied Mathematics Letters, 2009 Huang and Zhang [L.-G. Haung, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468–1476] proved some fixed point theorems in cone metric spaces.
Mujahid Abbas, B E Rhoades
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Approximation of a Metric on a Dominating Cone
Automation and Remote Control, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Constructing a Metric on a Dominating Cone. I
Automation and Remote Control, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On an equivalence of topological vector space valued cone metric spaces and metric spaces
Applied Mathematics Letters, 2012 Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. Recently this has been applied by Du (2010) [14] to investigate
Hüseyi̇N Çakalli
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Finsler metrics on symmetric cones
Mathematische Annalen, 2000Let \(V\) be a simple Euclidean Jordan algebra with an associative inner product \(\langle\cdot |\cdot\rangle\), and let \(\Omega\) be the corresponding symmetric cone. Let \({\mathfrak I}(V)\) be the compact symmetric space of all primitive idempotents of \(V\), and let \(G(\Omega)\) be the automorphism group of \(\Omega\).
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Natural metrics on faceless cones
Annali di Matematica Pura ed Applicata, 1981A genuine faceless cone is a non-empty linear cone that is open in some linear topology and includes no line. This paper describes all assignments of metrics to genuine faceless cones such that every linear mapping between cones is a contraction.
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