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Fixed point theorems of Perov type

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2017
Disertacija.pdf (3.275Mb)
Author
Cvetković, Marija S.
Mentor
Rakočević, Vladimir R.
Committee members
Pavlović, Vladimir
Gajić, Ljiljana
Milovanović, Gradimir
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Abstract
In this dissertation is introduced a new class of contractions in the setting of cone metric space, both solid and normal, by including an operator as a contractive constant. Some wellknown fixed point theorems are improved and obtained results generalize, Banach, Perov, Ćirić and Fisher theorem, among others. Common fixed point problem for a pair or a sequence of mappings is studied from a different point of view. Wide range of applications is corroborated with numerous examples.
Faculty:
University of Niš, Faculty of Science and Mathematics
Date:
11-07-2017
Keywords:
nelinearna analiza / nonlinear analysis / functional analysis / funkcionalna analiza
[ Google Scholar ]
URI
http://nardus.mpn.gov.rs/handle/123456789/8583
http://eteze.ni.ac.rs/application/showtheses?thesesId=5240
https://fedorani.ni.ac.rs/fedora/get/o:1396/bdef:Content/download
http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=1025511657

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