Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
By Zoran Kadelburg, Stojan Radenovic, Vladimir Rakocevic. 2010
59 citations recorded by the source corpus.
We develop the theory of topological vector space valued cone metric spaces with nonnormal cones. We prove three general fixed point results in these spaces and deduce as corollaries several extensions of theorems about fixed points and common fixed points, known from the theory of (normed-valued) cone metric spaces. Examples are given to distinguish our results from the known ones.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9e898dd6d66d945fa65aa1ed524452334fc0e91f
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In Geometry and Topology
- Nguyen Van Dung
- Stojan Radenovic
- Zoran Kadelburg
- Dragan Ðorić
- Tran Van An
- D. Spasić
- M. Đorđević
- Nawab Hussain
Citations in the corpus
- Various generalizations of metric spaces and fixed point theorems (2015, result): “This approach was used also in other papers [50,83,114].”
- A Note on Various Types of Cones and Fixed Point Results in Cone Metric Spaces (2013, background): “Later, these definitions were extended for tvs-cone valued cone metric spaces in [5] (see also [8, 14]).”
- Fixed point results under c-distance in tvs-cone metric spaces (2011, methodology): “However, when the cone is not normal, a csequence need not be a θ -sequence (see [7,14]).”