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

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

2011-11-21

arxiv.org/abs/1111.4920v1

Mathematics

Functional Analysis

51 pages

Scientific paper

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.

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