چكيده به لاتين
Abstract
In this thesis, in the first chapter, 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. We
present some useful properties of cone metric spaces, which allow us to establish
convergence results for Picard iteration with a priori and a posteriori
error estimates. In the second chapter, generalizes the work of Ballmann
and´Swiatkowski to the case of Reflexive Banach spaces and uniformly convex
Busemann spaces, thus giving a new fixed point criterion for groups
acting on simplicial complexes.
Key words: cone metric space, solid vector space, Banach contraction principle,
Busemann space, simplicial complex .
