Ivan D. Aranđelović

Ivan D. Aranđelović, Ph.D., full professor
Department of Mathematics
Office: 441
Email: iarandjelovic@mas.bg.ac.rs
Phone: extension 333; direct 3302-333

Student consultation hours

Tuesday 13 - 14; Friday 13 - 14

Courses

Analysis and risk management in process industries
Probability and statistics
Advanced course in mathematics
B.Sc. work
Mathematics 2
Mathematics 3
Fundamentals of risk engineering and fire safety
Selected topics on suppression of industrial risks, fire and explosions
Design of fire protection systems

Research area

Nonlinear functional analysis; Real analysis

Education, qualifications

1990 Graduate Mathematics Faculty of Mathematics, University of Belgrade. 1993 Magister of Mathematics Faculty of Mathematics, University of Belgrade. 1999 PhD in Mathematical science: University of Belgrade.

Publications, recognitions, awards

author or co-author of 115 scientific and 25 professional papers; author or co-author of seven textbooks and four collections of problems and exercises; special prizes from the Student Union of the Faculty of Mechanical Engineering in 1994 and 2004; special prize of the Faculty of Mechanical Engineering in 2002

Membership in scientific and professional organizations

Serbian mathematics society

Bibliography

Papers in journals indexed in the SCI and SCIe lists

Savanović Nikola, Aranđelović Ivan, Mitrović Zoran D. (2022). The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b-Metric Spaces, Mathematics, 10(6).
MDPI, Basel, ISSN: 2227-7390, 10.3390/math10060856, M21a+.

Mitrović Zoran D., Aranđelović Ivan, Misić Vesna, Aydi Hassen, Samet Bessem (2020). On d*-Complete Topological Spaces and Related Fixed Point Results, Mathematics, 8(9).
MDPI, Basel, ISSN: 2227-7390, 10.3390/math8091447, M21a+.

Aranđelović Ivan, Keckić Dragoljub J. (2012). Symmetric spaces approach to some fixed point results, Nonlinear Analysis-Theory Methods & Applications, 75(13), 5157-5168.
Pergamon-Elsevier Science Ltd, Oxford, ISSN: 0362-546X, 10.1016/j.na.2012.04.032, M21a+.

Aranđelović Ivan, Keckić Dragoljub J. (2010). A counterexample on a theorem by Khojasteh, Goodarzi, and Razani, Fixed Point Theory and Applications, 2010.
SpringerOpen, ISSN: 1687-1820, 10.1155/2010/470141, M21a+.

Aranđelović Ivan, Mitrović Zoran D., Petković Dojčin (2025). On two inequalities of G. V. Milovanović and I. Ž. Milovanović and their applications, Applicable Analysis and Discrete Mathematics, 19, 455-462.
University of Belgrade - School of Electrical Engineering, ISSN: 1452-8630, M21a.

George Reny, Aranđelović Ivan, Misić Vesna, Mitrović Zoran D. (2022). Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces, Journal of Function Spaces, 2022.
Hindawi Ltd, London, ISSN: 2314-8896, 10.1155/2022/1803348, M21a.

Mitrović Zoran D., Aranđelović Ivan (2014). Existence of generalized best approximations, Journal of Nonlinear and Convex Analysis, 15(4), 787-792.
Yokohama Publishers, ISSN: 1345-4773, M21a.

Aranđelović Ivan, Kadelburg Zoran, Radenović Stojan (2011). Boyd-Wong-type common fixed point results in cone metric spaces, Applied Mathematics and Computation, 217(17), 7167-7171.
Elsevier Science Inc, New York, ISSN: 0096-3003, 10.1016/j.amc.2011.01.113, M21a.

Aranđelović Ivan, Mitrović Zoran D., Aloqaily Ahmad, Mlaiki Nabil (2023). The Results of Common Fixed Points in b-Metric Spaces, Symmetry, 15.
MDPI, ISSN: 2073-8994, 10.3390/sym15071344, M21.

Mitrović Zoran D., Aranđelović Ivan (2017). Generalized scalar equilibrium problem with applications to best and coupled best approximations, Journal of Fixed Point Theory and Applications, 19(2), 1613-1624.
SPRINGER Basel AG, Basel, ISSN: 1661-7738, 10.1007/s11784-016-0396-7, M21.

Aranđelović Ivan, Mateljević Miodrag S. (2017). Ljubomir B. Ciric (1935-2016), Filomat, 31(11), 3035-3040.
Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, ISSN: 0354-5180, M21.

Aranđelović Ivan, Keckić Dragoljub J. (2011). On nonlinear quasi-contractions on TVS-cone metric spaces, Applied Mathematics Letters, 24(7), 1209-1213.
Pergamon-Elsevier Science Ltd, Oxford, ISSN: 0893-9659, 10.1016/j.aml.2011.02.010, M21.

Aranđelović Ivan (2005). On a fixed point theorem of Kirk, Journal of Mathematical Analysis and Applications, 301(2), 384-385.
Academic Press Inc Elsevier Science, San Diego, ISSN: 0022-247X, 10.1016/j.jmaa.2004.07.031, M21.

Mitrović Zoran D., Aranđelović Ivan, Misić Vesna, Dinmohammadi Abdollah, Parvaneh Vahid (2020). A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b-Metric Spaces with Application in Integral Equations, Advances in Mathematical Physics, 2020.
Hindawi Ltd, London, ISSN: 1687-9120, 10.1155/2020/2840482, M22.

Lazarević Željko, Aranđelović Ivan, Kirin Snežana (2018). The Reliability of Bucket Wheel Excavator - Review of Random Mechanical Failures, Tehnički vjesnik, 25(4), 1259-1264.
Univ Osijek, Tech Fac, Slavonski Brod, ISSN: 1330-3651, 10.17559/TV-20160727170019, M22.

Tikhonov Alexey A., Dolicanin Cemal, Partalin Todor A., Aranđelović Ivan (2014). A new form of equations for rigid body rotational dynamics, Tehnički vjesnik, 21(6), 1221-1227.
Strojarski Facultet, ISSN: 1330-3651, M22.

Đorđević Dimitrije R., Jaćimović Branislav M., Genić Srbislav, Aranđelović Ivan, Kolendić Petar, Rajić Radenko S. (2011). A Simple Method for Simulation of Stationary and Non-stationary Operation of Trayed Distillation Column, Revista De Chimie, 62(3), 328-334.
Chiminform Data S A, Bucharest, ISSN: 0034-7752, M22.

Papers in journals not indexed in the SCI and SCIe lists

Alshehri Sarah, Aranđelović Ivan, Shahzad Naseer (2014). Symmetric Spaces and Fixed Points of Generalized Contractions, Abstract and Applied Analysis.
Hindawi Ltd, London, ISSN: 1085-3375, 10.1155/2014/763547, M21a.

Aranđelović Ivan, Mitrović Zoran (2025). Fixed points results in S-left complete topological spaces and quasi b-metric spaces, Journal of Analysis, 2025.
Springer Nature, ISSN: 2367-2501, 10.1007/s41478-025-00919-4, M21.

Aranđelović Ivan, Aljohani Sarah, Mitrović Zoran, Đokić Vladimir, Mlaiki Nabil (2024). Fixed point theorem for extended nonlinear quasi-contractions on b-metric spaces, Results in Applied Mathematics, 23.
Elsevier B.V., ISSN: Online ISSN 2590-0374, 10.1016/j.rinam.2024.100497, M21.

Savanovioc Marko, Aranđelović Ivan, Tanasić Nikola, Rajić Radenko S., Dokić Vladimir, Dokić Dragana (2021). Fire resistance of boiler room building structure for liquid and gaseous fuels, Structural Integrity and Life, 21(3), 290-293.
Institut za ispitivanje materijala, Beograd, ISSN: 1451-3749, M22.

Lazarević Željko, Aranđelović Ivan, Kirin Snežana (2015). An analysis of random mechanical failures of bucket wheel excavator, Structural Integrity and Life, 15(3), 143-146.
Institut za ispitivanje materijala, Beograd, ISSN: 1451-3749, M24.

Genić Srbislav, Aranđelović Ivan, Kolendić Petar, Jarić Marko, Budimir Nikola, Genić Vojislav (2011). Pregled eksplicitnih aproksimacija Kolbrukove jednačine za koeficijent trenja, FME Transactions, 39(2), 67-71.
Univerzitet u Beogradu - Mašinski fakultet, Beograd, ISSN: 1451-2092, M51.

Aranđelović Ivan (2015). On Boyd-Wong-type fixed point results, Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informa, 7(1), 41-46.
Državni univerzitet u Novom Pazaru, Novi Pazar, ISSN: 2217-5539, 10.5937/SPSUNP1501041A, M52.

Aranđelović Ivan, Rajić Radenko, Tanasić Nikola (2023). Izvori ispuštanja i zone opasnosti vodoničnih instalacija, Procesna tehnika, 35(2), 38-42.
Savez mašinskih i elektrotehničkih inženjera i tehničara Srbije, ISSN: ISSN 2217-2319 (Online), M53.

Aranđelović Ivan, Rajić Radenko, Savanović Marko (2017). Postupci za procenu rizika od požara, Procesna tehnika, 29(2), 24-29.
Savez mašinskih i elektrotehničkih inženjera i tehničara Srbije, ISSN: 0352-678X, 10.24094/ptc.017.29.2.24, M53.

Conference papers

Tanasić Nikola, Rajić Radenko, Aranđelović Ivan (2025). Novel tabular method for estimation of heat Extraction factor, International Scientific and Professional Conference Politehnika 2025.
ISBN: 978-86-7498-146-7, M33.

Ivanović Milica, Aranđelović Ivan, Genić Srbislav, Simonović Aleksandar (2024). INERTNI GASOVI I AEROSOLI KAO ALTERNATIVNA SREDSTVA HALONIMA ZA GAŠENJE POŽARA, 37. Međunarodni kongres o procesnoj industriji.
Savez mašinskih i elektrotehničkih inženjera i tehničara Srbije (SMEITS), ISBN: 978-86-85535-18-5, M33.

Gojić Miroslav, Tanasić Nikola, Aranđelović Ivan, Milivojević Aleksandar (2023). Influence of ventilation system effectiveness on the safety of hydrogen storage and transportation, Second International Symposium on Risk Analysis and Safety of Complex Structures and Components (IRAS 2023); Procedia Structural Integrity 48 (2023) 334–341, 48, 334-341.
Elsevier B.V., ISSN: Online ISSN: 2452-3216, M33.

Filipović Milivoje, Aranđelović Ivan (2023). Fire resistance of boiler room the building structure, International scientific and professional conference Politehnika 2023, Belgrade, 15th December 2023.
The Academy of Applied Technical Studies “Belgrade”, Belgrade. - Belgrade, ISBN: ISBN 978-86-7498-110-8, M33.

Rajić Radenko S., Aranđelović Ivan, Tanasić Nikola (2023). A novel tabular method for estimation of water flow rate at the hydrant nozzle, International Scientific and Professional Conference Politehnika (2023 ; Beograd).
The Academy of Applied Technical Studies “Belgrade”, Belgrade, ISBN: ISBN 978-86-7498-110-8, M33.

Aranđelović Ivan, Gajić Branislav, Jekić Filip (2022). FAKTOR SAGOREVANjA I NjEGOVA PRIMENA U PROCENI OTPORNOSTI NA POŽAR, Zbornik radova 35. Međunarodni kongres o procesnoj industriji, PROCESING '22.
ISBN: 978-86-85535-12-3, M33.

Savanović Marko, Aranđelović Ivan, Tanasić Nikola, Rajić Radenko S. (2022). Otpornost prema požaru noseće konstrukcije objekta kotlarnica na čvrsto gorivo, ZBORNIK RADOVA pisanih za 35. Međunarodni kongres o procesnoj industriji PROCESING ′22.
ISBN: 978-86-85535-12-3, M33.

Savanović Marko, Aranđelović Ivan, Tanasić Nikola, Rajić Radenko (2022). Design fire resistance of boiler room building structure for solid fuels, Proceedings of 35nd international congress on process industry – Procesing ’22, Belgrade, Serbia, 1-3 June 2022.
M33.

Aranđelović Ivan, Bekrić Dragoljub, Tanasić N., Rajić Radenko S. (2023). On some applications of Sarhan–Zaindin modified Weibull distribution, Proceedings of the second international symposium on risk analysis and safety of complex structures and components - IRAS 2023, Book of Abstracts.
Društvo za Integritet i Vek Konstrukcija “Prof dr Stojan Sedmak” – Belgrade – Serbia, ISBN: 978-86-900686-1-6, M34.

Rajić Radenko, Tanasić Nikola, Aranđelović Ivan (2024). Mobilni uređaji za gašenje požara u motornim vozilima, Naučno–stručni skup Dobra praksa u drumskom saobraćaju i transportu (2 ; 2024 ; Beograd), 690 - 695.
Akademija tehničkih strukovnih studija Beograd, ISBN: 978-86-7498-112-2, M63.

Aranđelović Ivan, Rajić Radenko, Tanasić Nikola (2021). Proračun protoka vode kroz hidrantsku mlaznicu, Šesti naučno-stručni skup Politehnika 6, Zbornik radova, Beograd 2021.
ISBN: 978-86-7498-087-3, M63.

Aranđelović Ivan (2025). An unified approach to existence of fixed points and convergence of iterative sequences for mappings which satisfies one linear contractive condition, XV Simpozijum ”Matematika i primene”, 12–13. decembar 2025. Beograd, Srbija, knjiga apstrakata.
Univerzitet u Beogradu - Matematički fakultet, ISBN: 978-86-7589-206-9, M64.

Aranđelović Ivan, Mitrović Zoran D. (2024). Fifty Years of the Ćirić Fixed Point Theorem on Quasi-Contractions, KNjIGA APSTRAKATA– XV SRPSKI MATEMATIQKI KONGRES.
Univerzitet u Beogradu - Matematički fakultet, ISBN: 978-86-7589-191-8, M64.

Bajović Dušan, Mitrović Zoran D., Aranđelović Ivan (2024). On estimating convergence for Pickard sequences in quasi b-metric and rectangular quasi b-metric spaces, KNjIGA APSTRAKATA XV SRPSKI MATEMATIQKI KONGRES.
Univerzitet u Beogradu - Matematički fakultet, ISBN: 978-86-7589-191-8, M64.

Aranđelović Ivan (2024). An Equivalent of Schwarz lemma and its Generalizations and Applications, Symposium MATHEMATICS AND APPLICATION, Faculty of Mathematics, University of Belgrade.
Univerzitet u Beogradu - Matematički fakultet, ISBN: 978-86-7589-197-0, M64.

Aranđelović Ivan, Rajić Radenko, Tanasić Nikola (2021). Određivanje optimalnih površina otvora u spoljnim zidovima industrijskih objekata prilikom projektovanja mera zaštite od požara, Međunarodna naučna konferencija Bezbednosni inženjering; Zaštita od požara i eksplozije, Kladovo 2021.
Visoka tehnička škola strukovnih studija u Novom Sadu, ISBN: 978-86-6211-128-9.

Aranđelović Ivan, Rajić Radnko, Savanović Marko, Đinović Ilija (2019). Klase opasnosti od požara industrijskih objekata, 32. Međunarodni kongres o procesnoj industriji PROCESING '19, Beograd 2019..
Beograd : SMEITS, ISBN: ISBN 978-86-81505-94-6.

Aranđelović Ivan, Genić Srbislav, Rajić Radenko, Đinović Ilija (2019). Određivanje protoka vode na hidrantskom priključku primenom kalibrisanih mlaznica, 32. Međunarodni kongres o procesnoj industriji PROCESING '19, Beograd 2019.
ISBN: 978-86-81505-94-6.

Aranđelović Ivan, Rajić Radenko (2018). Izbor tipa i raspored protivpožarnih aparata, 32. Međunarodni kongres o procesnoj industriji PROCESING '18.
SMEITS, Beograd, ISBN: ISBN 978-86-81505-86-1.

Aranđelović Ivan, Genić Srbislav, Rajić Radenko (2018). Određivanje rasporeda aparata za gašenje požara u neindustrijskim objektima, Međunarodna naučna konferencija Bezbednosni inženjering; Zaštita od požara i eksplozije, Novi Sad 2018, 209-216..
Visoka tehnička škola strukovnih studija Novi Sad, ISBN: 978-86-6211-114-2.

Aranđelović Ivan, Rajić Radenko (2017). Postupci za procenu rizika od požara, 29. Međunarodni kongres o procesnoj industriji PROCESING '16.
ISBN: 978-86-81505-81-6.

Aranđelović Ivan (1997). On the weak admissibility on topological vector spaces and its applications in fixed point theory, Proceedings of the II international mathematical conference in Priština, Priština 1997..
Prirodno - matematički fakultet Univerziteta u Prištini, ISBN: 86-80795-02-X.

Aranđelović Ivan, Milovanović - Aranđelović Marina, Aranđelović (1997). A fixed point theorem in compact Menger spaces, Proceedings of the II international mathematical conference in Priština, Priština 1997..
Prirodno - matematički fakultet Univerziteta u Prištini, ISBN: 86-80795-02-X.

Aranđelović Ivan (1992). A convexity in topological spaces and KKM multifunctions, Zbornik radova Filozofskog fakulteta u Nišu. Serija Matematika. Filomat 92..
Niš : Filozofski fakultet, ISSN: 0353-1325.

Books

Aranđelović Ivan, Pejčev Aleksandar, Đukić Dušan, Jandrlić Davorka, Tomanović Jelena, Mutavdžić Đukić Rada, Vučić Miloš (2020). Matematika 1: udžbenik i zbirka zadataka, Univerzitet u Beogradu - Mašinski fakultet.
Univerzitet u Beogradu - Mašinski fakultet.

Aranđelović Ivan, Jandrlić Davorka, Pejčev Aleksandar, Đukić Dušan, Tomanović Jelena, Mutavdžić Đukić Rada (2019). Matematika 2, Univerzitet u Beogradu - Mašinski fakultet.
Univerzitet u Beogradu - Mašinski fakultet.

Spalević Miodrag, Aranđelović Ivan, Pejčev Aleksandar, Doder Dragan, Đukić Dušan, Tomanović Jelena (2017). Diferencijalne jednačine, Univerzitet u Beogradu - Mašinski fakultet.
Univerzitet u Beogradu - Mašinski fakultet.

Spalević Miodrag, Cvetković Aleksandar, Aranđelović Ivan, Pejčev Aleksandar, Đukić Dušan, Tomanović Jelena (2015). Višestruki, krivolinijski i površinski integrali i primene, terorija redova, Univerzitet u Beogradu - Mašinski fakultet.
Univerzitet u Beogradu - Mašinski fakultet.