Title
Fiksne i najbolje aproksimacije tačke za preslikavanja na metričkim prostorima i uopštenjima
Creator
Kostić, Aleksandar S. 1991-
Copyright date
2020
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
Dozvoljavate samo preuzimanje i distribuciju dela, ako/dok se pravilno naznačava ime autora, bez ikakvih promena dela i bez prava komercijalnog korišćenja dela. Ova licenca je najstroža CC licenca. Osnovni opis Licence: http://creativecommons.org/licenses/by-nc-nd/3.0/rs/deed.sr_LATN. Sadržaj ugovora u celini: http://creativecommons.org/licenses/by-nc-nd/3.0/rs/legalcode.sr-Latn
Language
Serbian
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane: 21.01.2021.
Other responsibilities
mentor
Rakočević, Vladimir 1953-
član komisije
Milovanović, Gradimir V. 1948-
član komisije
Gajić, Ljiljana 1951-
član komisije
Ilić, Dejan 1973-
član komisije
Pavlović, Vladimir 1976-
Academic Expertise
Prirodno-matematičke nauke
Academic Title
-
University
Univerzitet u Nišu
Faculty
Prirodno-matematički fakultet
Group
Odsek za matematiku i informatiku
Alternative title
Fixed and best proximity points for mappings on metric spaces and generalizations
Publisher
[A. S. Kostić]
Format
87 listova
description
Biografija autora sa bibliografijom: list. 86-87;
Bibliografija: listovi 80-85.
description
Mathematical analysis, Functional analysis
Abstract (en)
The theme of this doctoral dissertation are best proximity point and fixed point theorems for operators on metric and generalized metric spaces. From the corresponding best proximity point theorems, it is possible to derive as consequences, the statements about fixed points for given type of mappings. Similarly, from the results in spaces with a generalized metrics, we further deduce corresponding results on usual metric spaces. In that manner, some well-known results of fixed point theory are unified. The text of the dissertation is divided into three chapters. The first chapter is of introductory character. The second chapter contains the main results which were obtained by the author independently or in co-authorship in papers published in distinguished international journals on the SCI list. In the third chapter, the applications of the main results to integral equations and variational inequalities are studied, and some directions for further research are outlined.
Authors Key words
Fixed point, best proximity point, metric space
Authors Key words
Fiksna tačka, najbolja aproksimaciona tačka, metrički prostor
Classification
517.988.5(043.3)
Subject
P 140
Type
Tekst
Abstract (en)
The theme of this doctoral dissertation are best proximity point and fixed point theorems for operators on metric and generalized metric spaces. From the corresponding best proximity point theorems, it is possible to derive as consequences, the statements about fixed points for given type of mappings. Similarly, from the results in spaces with a generalized metrics, we further deduce corresponding results on usual metric spaces. In that manner, some well-known results of fixed point theory are unified. The text of the dissertation is divided into three chapters. The first chapter is of introductory character. The second chapter contains the main results which were obtained by the author independently or in co-authorship in papers published in distinguished international journals on the SCI list. In the third chapter, the applications of the main results to integral equations and variational inequalities are studied, and some directions for further research are outlined.
“Data exchange” service offers individual users metadata transfer in several different formats. Citation formats are offered for transfers in texts as for the transfer into internet pages. Citation formats include permanent links that guarantee access to cited sources. For use are commonly structured metadata schemes : Dublin Core xml and ETUB-MS xml, local adaptation of international ETD-MS scheme intended for use in academic documents.
