Fixed point in uniform spaces
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Date
2020-02-23
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University Of Eloued جامعة الوادي
Abstract
In this work, we expand some definitions of functional analysis usually defined on metric spaces
to non-metric topologiqual spaces. To do so, we introduce some notions associated with nonmetrizable
spaces, wich extanded the topological structures of these spaces, for make them
fairly close of those of the metric spaces. It concerns some topological vector spaces of uniform
structure; particularly those generated by family of semi-norms. Specially, we study the
extension of the Banach contraction principle on such spaces.
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Intervention
Keywords
Vectorial topological space, uniforme space, contraction principle, fixed point theorem
Citation
Ouani Afaf .Nisse Lamine. Fixed point in uniform spaces. International PluridisciplinaryPhD Meeting (IPPM’20). 1st Edition, February23-26, 2020. University Of Eloued. [Visited in ../../….]. Available from [copy the link here].