Topological Vector Space-Valued Cone Metric Spaces and Fixed Point TheoremsReport as inadecuate




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Fixed Point Theory and Applications

, 2010:170253

First Online: 02 August 2010Received: 18 December 2009Revised: 14 July 2010Accepted: 19 July 2010

Abstract

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.

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Author: Zoran Kadelburg - Stojan Radenović - Vladimir Rakočević

Source: https://link.springer.com/







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