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Zbl 1197.54063
Kadelburg, Zoran; Radenović, Stojan; Rakočević, Vladimir
Topological vector space-valued cone metric spaces and fixed point theorems.
(English)
[J] Fixed Point Theory Appl. 2010, Article ID 170253, 17 p. (2010). ISSN 1687-1812/e

Summary: 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.
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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