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arXiv:1111.4920 [math.FA]AbstractReferencesReviewsResources

A unified theory of cone metric spaces and its applications to the fixed point theory

Petko D. Proinov

Published 2011-11-21Version 1

In this paper we develop a unified theory for cone metric spaces over a solid vector space. As an application of the new theory we present full statements of the iterated contraction principle and the Banach contraction principle in cone metric spaces over a solid vector space.

Comments: 51 pages
Journal: Fixed Point Theory and Applications 2013:103 (2013)
Categories: math.FA, math.GN, math.NA
Subjects: 54H25, 47H10, 46A19, 65J15, 06F30
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