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Kostić, Aleksandar S. 1991-
Fiksne i najbolje aproksimacije tačke za preslikavanja na metričkim prostorima i uopštenjima
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
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Academic metadata
Doktorska disertacija
Prirodno-matematičke nauke
-
Univerzitet u Nišu
Prirodno-matematički fakultet
Odsek za matematiku i informatiku
Other Theses Metadata
Fixed and best proximity points for mappings on metric spaces and generalizations
[A. S. Kostić]
87 listova
Biografija autora sa bibliografijom: list. 86-87;
Bibliografija: listovi 80-85.
Datum odbrane: 21.01.2021.
Mathematical analysis, Functional analysis
Rakočević, Vladimir 1953- (mentor)
Milovanović, Gradimir V. 1948- (član komisije)
Gajić, Ljiljana 1951- (član komisije)
Ilić, Dejan 1973- (član komisije)
Pavlović, Vladimir 1976- (član komisije)
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.
Fixed point, best proximity point, metric space
Fiksna tačka, najbolja aproksimaciona tačka, metrički prostor
517.988.5(043.3)
P 140
Serbian
31220745
Tekst
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.
https://phaidrabg.bg.ac.rs/detail_object/o:1733?tab=0#mda
