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Title:
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PRESLIKAVANJA KONTRAKTIVNOG TIPA I NJIHOVE PRIMENE U NELINEARNOJ ANALIZI
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Author:
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Milovanović - Aranđelović, Marina |
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Abstract:
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The aim of this dissertation is to present new properties of some classes of
contractive mappings, and applications of this results to nonlinear analysis. It
contain six chapters.
The first chapter gives basic properties of semi-metric spaces. New result
is extension of Borel - Lebesque theorem to semi metric spaces. The second
chapter contain generalization of Niemytzki’s fixed point theorem. In third
chapter the notion of measure of non-compactness are extended to class of semimetric
spaces. New fixed point theorem for condensing mappings defined on
semi-metric spaces is presented. Further three chapters contains new common
fixed points theorems of Mair - Keeler type, new results for accretive mappings
and new common fixed point results for mappings defined on probabilistic
metric spaces. |
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URI:
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http://hdl.handle.net/123456789/4482
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Date:
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2016 |