o:1733 Fiksne i najbolje aproksimacije tačke za preslikavanja na metričkim prostorima i uopštenjima Fixed and best proximity points for mappings on metric spaces and generalizations : doctoral dissertation sr 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. Biografija autora sa bibliografijom: list. 86-87;Bibliografija: listovi 80-85. Datum odbrane: 21.01.2021. Mathematical analysis, Functional analysis 31220745 91552101 8236 91552100 31220745 2021-08-25T13:15:54.053Z 45 no 46 mentor Aleksandar S. 1991- Kostić 2020 63 mentor Vladimir 1953- Rakočević 2020 63 član komisije Gradimir V. 1948- Milovanović 2020 63 član komisije Ljiljana 1951- Gajić 2020 63 član komisije Dejan 1973- Ilić 2020 63 član komisije Vladimir 1976- Pavlović 2020 87 listova 2049145 http://phaidrabg.bg.ac.rs/o:1733 no yes 4 2021-08-25T13:15:54.320Z 70 Fixed point, best proximity point, metric space Fiksna tačka, najbolja aproksimaciona tačka, metrički prostor 517.988.5(043.3) P 140 1738 18A07 18A0701 2020