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Projects
Problems in Nonlinear analysis, Operator theory, Topology and applications
Research activity
| Code | Science | Field |
|---|---|---|
| P000 | Natural sciences and mathematics |
Keywords
Fuzzy mapping, fixed point, operator equations, spectra, selection principles, game theory.
Organisations (10) , Researchers (2)
0117 University of Nis, Faculty of Sciences and Mathematics
| no. | Code | Name and surname | Research area | Role | Period | No. of publicationsNo. of publications |
|---|---|---|---|---|---|---|
| 1. | 11967 | Series, Fourier analysis, functional analysis | Researcher | 2018 - 2019 | 0 | |
| 2. | 08826 | Series, Fourier analysis, functional analysis | Head | 2011 - 2019 | 151 |
0013 University of Belgrade, Faculty of Agriculture
0019 University of Belgrade, Faculty of Organizational Sciences
0023 University of Belgrade, Faculty of Mechanical Engineering
0032 University of Belgrade, Technical Faculty
0040 University of Novi Sad, Faculty of Sciences
0075 University of Kragujevac, Faculty of Mechanical and Civil Engineering in Kraljevo
0099 University of Nis, Faculty of Medicine
0113 University of Niš, Faculty of Occupational Safety
0116 University of Nis, Faculty of Civil Engineering and Architecture
Abstract
The research topics include applications of various methods of nonlinear analysis, operator theory and topology. In part these present a continuation of the research undertaken in previous projects. The research will deal with current problems on fixed points of nonlinear mappings. Many results are expected concerning fixed points of single-valued and multivalued mappings on deterministic and non deterministic spaces. The investigation will be concerned with the spectral theory of linear operators on Banach and Hilbert spaces and operator equations involving ordinary and generalized inverses. Also, a study is planned of special functions, special classes of polynomials and integral transforms, and linear transformations of sequence spaces. The theory of selection principles (and its connections with the game theory, infinitary combinatorics, function spaces, real analysis of asymptotic processes) is an interdisciplinary area of mathematics with important applications.