Mitrović, Zoran D.

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orcid::0000-0001-9993-9082
  • Mitrović, Zoran D. (8)
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Author's Bibliography

On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions

Aranđelović, Ivan; Reny, George; Isik, Huseyin; Mitrović, Zoran D.; Mišić, Vesna

(Faculty of Sciences and Mathematics, University of Niš, Serbia, 2023)

TY  - JOUR
AU  - Aranđelović, Ivan
AU  - Reny, George
AU  - Isik, Huseyin
AU  - Mitrović, Zoran D.
AU  - Mišić, Vesna
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7715
AB  - In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasicontractive mappings on TVS-cone metric space. Further, our results generalize many existing results in
the literature.
PB  - Faculty of Sciences and Mathematics, University of Niš, Serbia
T2  - Filomat
T1  - On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions
EP  - 4393
IS  - 13
SP  - 4387
VL  - 37
DO  - 10.2298/FIL2313387A
ER  - 
@article{
author = "Aranđelović, Ivan and Reny, George and Isik, Huseyin and Mitrović, Zoran D. and Mišić, Vesna",
year = "2023",
abstract = "In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasicontractive mappings on TVS-cone metric space. Further, our results generalize many existing results in
the literature.",
publisher = "Faculty of Sciences and Mathematics, University of Niš, Serbia",
journal = "Filomat",
title = "On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions",
pages = "4393-4387",
number = "13",
volume = "37",
doi = "10.2298/FIL2313387A"
}
Aranđelović, I., Reny, G., Isik, H., Mitrović, Z. D.,& Mišić, V.. (2023). On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions. in Filomat
Faculty of Sciences and Mathematics, University of Niš, Serbia., 37(13), 4387-4393.
https://doi.org/10.2298/FIL2313387A
Aranđelović I, Reny G, Isik H, Mitrović ZD, Mišić V. On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions. in Filomat. 2023;37(13):4387-4393.
doi:10.2298/FIL2313387A .
Aranđelović, Ivan, Reny, George, Isik, Huseyin, Mitrović, Zoran D., Mišić, Vesna, "On the convergence of Ishikawa iterates defined by nonlinear quasi-contractions" in Filomat, 37, no. 13 (2023):4387-4393,
https://doi.org/10.2298/FIL2313387A . .

The Results of Common Fixed Points in b-Metric Spaces

Aranđelović, Ivan; Mitrović, Zoran D.; Aloqaily, Ahmad; Mlaiki, Nabil

(MDPI, 2023)

TY  - JOUR
AU  - Aranđelović, Ivan
AU  - Mitrović, Zoran D.
AU  - Aloqaily, Ahmad
AU  - Mlaiki, Nabil
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7714
AB  - In this paper, we present some results on the existence and uniqueness of common fixed points on 𝑑������∗-complete topological spaces. Our results generalize and improve upon earlier results in the literature. Finally, we give some examples in 𝑙������𝑝������  spaces, (𝑝������∈(0,1)), where we use the obtained results.
PB  - MDPI
T2  - Symmetry
T1  - The Results of Common Fixed Points in b-Metric Spaces
SP  - 1344
VL  - 15
DO  - 10.3390/sym15071344
ER  - 
@article{
author = "Aranđelović, Ivan and Mitrović, Zoran D. and Aloqaily, Ahmad and Mlaiki, Nabil",
year = "2023",
abstract = "In this paper, we present some results on the existence and uniqueness of common fixed points on 𝑑������∗-complete topological spaces. Our results generalize and improve upon earlier results in the literature. Finally, we give some examples in 𝑙������𝑝������  spaces, (𝑝������∈(0,1)), where we use the obtained results.",
publisher = "MDPI",
journal = "Symmetry",
title = "The Results of Common Fixed Points in b-Metric Spaces",
pages = "1344",
volume = "15",
doi = "10.3390/sym15071344"
}
Aranđelović, I., Mitrović, Z. D., Aloqaily, A.,& Mlaiki, N.. (2023). The Results of Common Fixed Points in b-Metric Spaces. in Symmetry
MDPI., 15, 1344.
https://doi.org/10.3390/sym15071344
Aranđelović I, Mitrović ZD, Aloqaily A, Mlaiki N. The Results of Common Fixed Points in b-Metric Spaces. in Symmetry. 2023;15:1344.
doi:10.3390/sym15071344 .
Aranđelović, Ivan, Mitrović, Zoran D., Aloqaily, Ahmad, Mlaiki, Nabil, "The Results of Common Fixed Points in b-Metric Spaces" in Symmetry, 15 (2023):1344,
https://doi.org/10.3390/sym15071344 . .
1

The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b-Metric Spaces

Savanović, Nikola; Aranđelović, Ivan; Mitrović, Zoran D.

(MDPI, Basel, 2022)

TY  - JOUR
AU  - Savanović, Nikola
AU  - Aranđelović, Ivan
AU  - Mitrović, Zoran D.
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3763
AB  - In this paper, we obtain the results of coincidence and common fixed points in b-metric spaces. We work with a new type of multivalued quasi-contractive mapping with nonlinear comparison functions. Our results generalize and improve several recent results. Additionally, we give an application of the obtained results to dynamical systems.
PB  - MDPI, Basel
T2  - Mathematics
T1  - The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b-Metric Spaces
IS  - 6
VL  - 10
DO  - 10.3390/math10060856
ER  - 
@article{
author = "Savanović, Nikola and Aranđelović, Ivan and Mitrović, Zoran D.",
year = "2022",
abstract = "In this paper, we obtain the results of coincidence and common fixed points in b-metric spaces. We work with a new type of multivalued quasi-contractive mapping with nonlinear comparison functions. Our results generalize and improve several recent results. Additionally, we give an application of the obtained results to dynamical systems.",
publisher = "MDPI, Basel",
journal = "Mathematics",
title = "The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b-Metric Spaces",
number = "6",
volume = "10",
doi = "10.3390/math10060856"
}
Savanović, N., Aranđelović, I.,& Mitrović, Z. D.. (2022). The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b-Metric Spaces. in Mathematics
MDPI, Basel., 10(6).
https://doi.org/10.3390/math10060856
Savanović N, Aranđelović I, Mitrović ZD. The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b-Metric Spaces. in Mathematics. 2022;10(6).
doi:10.3390/math10060856 .
Savanović, Nikola, Aranđelović, Ivan, Mitrović, Zoran D., "The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b-Metric Spaces" in Mathematics, 10, no. 6 (2022),
https://doi.org/10.3390/math10060856 . .
4
3

Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces

George, Reny; Aranđelović, Ivan; Misić, Vesna; Mitrović, Zoran D.

(Hindawi Ltd, London, 2022)

TY  - JOUR
AU  - George, Reny
AU  - Aranđelović, Ivan
AU  - Misić, Vesna
AU  - Mitrović, Zoran D.
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3793
AB  - We present a fixed point result in quasi b-metric spaces. Our result generalizes recent fixed point results obtained by Aleksit et al., Dung and Hang, Jovanovit et al., Sarwar, and Rahman and classical results obtained by Hardy, Rogers, and Cirie. Also, we obtain a common fixed point result in b-metric spaces. As a special case, we get a result of Cirie and Wong.
PB  - Hindawi Ltd, London
T2  - Journal of Function Spaces
T1  - Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces
VL  - 2022
DO  - 10.1155/2022/1803348
ER  - 
@article{
author = "George, Reny and Aranđelović, Ivan and Misić, Vesna and Mitrović, Zoran D.",
year = "2022",
abstract = "We present a fixed point result in quasi b-metric spaces. Our result generalizes recent fixed point results obtained by Aleksit et al., Dung and Hang, Jovanovit et al., Sarwar, and Rahman and classical results obtained by Hardy, Rogers, and Cirie. Also, we obtain a common fixed point result in b-metric spaces. As a special case, we get a result of Cirie and Wong.",
publisher = "Hindawi Ltd, London",
journal = "Journal of Function Spaces",
title = "Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces",
volume = "2022",
doi = "10.1155/2022/1803348"
}
George, R., Aranđelović, I., Misić, V.,& Mitrović, Z. D.. (2022). Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces. in Journal of Function Spaces
Hindawi Ltd, London., 2022.
https://doi.org/10.1155/2022/1803348
George R, Aranđelović I, Misić V, Mitrović ZD. Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces. in Journal of Function Spaces. 2022;2022.
doi:10.1155/2022/1803348 .
George, Reny, Aranđelović, Ivan, Misić, Vesna, Mitrović, Zoran D., "Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces" in Journal of Function Spaces, 2022 (2022),
https://doi.org/10.1155/2022/1803348 . .
1
1

A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b-Metric Spaces with Application in Integral Equations

Mitrović, Zoran D.; Aranđelović, Ivan; Misić, Vesna; Dinmohammadi, Abdollah; Parvaneh, Vahid

(Hindawi Ltd, London, 2020)

TY  - JOUR
AU  - Mitrović, Zoran D.
AU  - Aranđelović, Ivan
AU  - Misić, Vesna
AU  - Dinmohammadi, Abdollah
AU  - Parvaneh, Vahid
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3375
AB  - In this paper, we present a common fixed point result for a pair of mappings defined on a b-metric space, which satisfies quasi-contractive inequality with nonlinear comparison functions. An application in solving a class of integral equations will support our results.
PB  - Hindawi Ltd, London
T2  - Advances in Mathematical Physics
T1  - A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b-Metric Spaces with Application in Integral Equations
VL  - 2020
DO  - 10.1155/2020/2840482
ER  - 
@article{
author = "Mitrović, Zoran D. and Aranđelović, Ivan and Misić, Vesna and Dinmohammadi, Abdollah and Parvaneh, Vahid",
year = "2020",
abstract = "In this paper, we present a common fixed point result for a pair of mappings defined on a b-metric space, which satisfies quasi-contractive inequality with nonlinear comparison functions. An application in solving a class of integral equations will support our results.",
publisher = "Hindawi Ltd, London",
journal = "Advances in Mathematical Physics",
title = "A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b-Metric Spaces with Application in Integral Equations",
volume = "2020",
doi = "10.1155/2020/2840482"
}
Mitrović, Z. D., Aranđelović, I., Misić, V., Dinmohammadi, A.,& Parvaneh, V.. (2020). A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b-Metric Spaces with Application in Integral Equations. in Advances in Mathematical Physics
Hindawi Ltd, London., 2020.
https://doi.org/10.1155/2020/2840482
Mitrović ZD, Aranđelović I, Misić V, Dinmohammadi A, Parvaneh V. A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b-Metric Spaces with Application in Integral Equations. in Advances in Mathematical Physics. 2020;2020.
doi:10.1155/2020/2840482 .
Mitrović, Zoran D., Aranđelović, Ivan, Misić, Vesna, Dinmohammadi, Abdollah, Parvaneh, Vahid, "A Common Fixed Point Theorem for Nonlinear Quasi-Contractions on b-Metric Spaces with Application in Integral Equations" in Advances in Mathematical Physics, 2020 (2020),
https://doi.org/10.1155/2020/2840482 . .
4
4

On d*-Complete Topological Spaces and Related Fixed Point Results

Mitrović, Zoran D.; Aranđelović, Ivan; Misić, Vesna; Aydi, Hassen; Samet, Bessem

(MDPI, Basel, 2020)

TY  - JOUR
AU  - Mitrović, Zoran D.
AU  - Aranđelović, Ivan
AU  - Misić, Vesna
AU  - Aydi, Hassen
AU  - Samet, Bessem
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3331
AB  - In this paper, we introduce the concept ofd*-complete topological spaces, which include earlier defined classes of complete metric spaces and quasib-metric spaces. Further, we prove some fixed point results for mappings defined ond*-complete topological spaces, generalizing earlier results of Taskovic, Ciric and Presic, Presic, Bryant, Marjanovic, Yen, Caccioppoli, Reich and Bianchini.
PB  - MDPI, Basel
T2  - Mathematics
T1  - On d*-Complete Topological Spaces and Related Fixed Point Results
IS  - 9
VL  - 8
DO  - 10.3390/math8091447
ER  - 
@article{
author = "Mitrović, Zoran D. and Aranđelović, Ivan and Misić, Vesna and Aydi, Hassen and Samet, Bessem",
year = "2020",
abstract = "In this paper, we introduce the concept ofd*-complete topological spaces, which include earlier defined classes of complete metric spaces and quasib-metric spaces. Further, we prove some fixed point results for mappings defined ond*-complete topological spaces, generalizing earlier results of Taskovic, Ciric and Presic, Presic, Bryant, Marjanovic, Yen, Caccioppoli, Reich and Bianchini.",
publisher = "MDPI, Basel",
journal = "Mathematics",
title = "On d*-Complete Topological Spaces and Related Fixed Point Results",
number = "9",
volume = "8",
doi = "10.3390/math8091447"
}
Mitrović, Z. D., Aranđelović, I., Misić, V., Aydi, H.,& Samet, B.. (2020). On d*-Complete Topological Spaces and Related Fixed Point Results. in Mathematics
MDPI, Basel., 8(9).
https://doi.org/10.3390/math8091447
Mitrović ZD, Aranđelović I, Misić V, Aydi H, Samet B. On d*-Complete Topological Spaces and Related Fixed Point Results. in Mathematics. 2020;8(9).
doi:10.3390/math8091447 .
Mitrović, Zoran D., Aranđelović, Ivan, Misić, Vesna, Aydi, Hassen, Samet, Bessem, "On d*-Complete Topological Spaces and Related Fixed Point Results" in Mathematics, 8, no. 9 (2020),
https://doi.org/10.3390/math8091447 . .
2
2

Generalized scalar equilibrium problem with applications to best and coupled best approximations

Mitrović, Zoran D.; Aranđelović, Ivan

(SPRINGER Basel AG, Basel, 2017)

TY  - JOUR
AU  - Mitrović, Zoran D.
AU  - Aranđelović, Ivan
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2519
AB  - In this paper, we present a new theorem on the existence of solutions for a three-function scalar equilibrium problem. Compactness is expressed in terms of the existence of feasibility sets of arbitrarily small measures of non-compactness, in addition to the completeness of the domain. Hereby we present some new results on the best approximations and coupled best approximations. We propose the generalized coupled coincidence problem and present a theorem on existence of its solution.
PB  - SPRINGER Basel AG, Basel
T2  - Journal of Fixed Point Theory and Applications
T1  - Generalized scalar equilibrium problem with applications to best and coupled best approximations
EP  - 1624
IS  - 2
SP  - 1613
VL  - 19
DO  - 10.1007/s11784-016-0396-7
ER  - 
@article{
author = "Mitrović, Zoran D. and Aranđelović, Ivan",
year = "2017",
abstract = "In this paper, we present a new theorem on the existence of solutions for a three-function scalar equilibrium problem. Compactness is expressed in terms of the existence of feasibility sets of arbitrarily small measures of non-compactness, in addition to the completeness of the domain. Hereby we present some new results on the best approximations and coupled best approximations. We propose the generalized coupled coincidence problem and present a theorem on existence of its solution.",
publisher = "SPRINGER Basel AG, Basel",
journal = "Journal of Fixed Point Theory and Applications",
title = "Generalized scalar equilibrium problem with applications to best and coupled best approximations",
pages = "1624-1613",
number = "2",
volume = "19",
doi = "10.1007/s11784-016-0396-7"
}
Mitrović, Z. D.,& Aranđelović, I.. (2017). Generalized scalar equilibrium problem with applications to best and coupled best approximations. in Journal of Fixed Point Theory and Applications
SPRINGER Basel AG, Basel., 19(2), 1613-1624.
https://doi.org/10.1007/s11784-016-0396-7
Mitrović ZD, Aranđelović I. Generalized scalar equilibrium problem with applications to best and coupled best approximations. in Journal of Fixed Point Theory and Applications. 2017;19(2):1613-1624.
doi:10.1007/s11784-016-0396-7 .
Mitrović, Zoran D., Aranđelović, Ivan, "Generalized scalar equilibrium problem with applications to best and coupled best approximations" in Journal of Fixed Point Theory and Applications, 19, no. 2 (2017):1613-1624,
https://doi.org/10.1007/s11784-016-0396-7 . .
1
1

Existence of generalized best approximations

Mitrović, Zoran D.; Aranđelović, Ivan

(Yokohama Publishers, 2014)

TY  - JOUR
AU  - Mitrović, Zoran D.
AU  - Aranđelović, Ivan
PY  - 2014
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1971
AB  - In this paper we present further extension of the best approximations theorems obtained by Ky Fan, J. Prolla and A. Carbone.
PB  - Yokohama Publishers
T2  - Journal of Nonlinear and Convex Analysis
T1  - Existence of generalized best approximations
EP  - 792
IS  - 4
SP  - 787
VL  - 15
UR  - https://hdl.handle.net/21.15107/rcub_machinery_1971
ER  - 
@article{
author = "Mitrović, Zoran D. and Aranđelović, Ivan",
year = "2014",
abstract = "In this paper we present further extension of the best approximations theorems obtained by Ky Fan, J. Prolla and A. Carbone.",
publisher = "Yokohama Publishers",
journal = "Journal of Nonlinear and Convex Analysis",
title = "Existence of generalized best approximations",
pages = "792-787",
number = "4",
volume = "15",
url = "https://hdl.handle.net/21.15107/rcub_machinery_1971"
}
Mitrović, Z. D.,& Aranđelović, I.. (2014). Existence of generalized best approximations. in Journal of Nonlinear and Convex Analysis
Yokohama Publishers., 15(4), 787-792.
https://hdl.handle.net/21.15107/rcub_machinery_1971
Mitrović ZD, Aranđelović I. Existence of generalized best approximations. in Journal of Nonlinear and Convex Analysis. 2014;15(4):787-792.
https://hdl.handle.net/21.15107/rcub_machinery_1971 .
Mitrović, Zoran D., Aranđelović, Ivan, "Existence of generalized best approximations" in Journal of Nonlinear and Convex Analysis, 15, no. 4 (2014):787-792,
https://hdl.handle.net/21.15107/rcub_machinery_1971 .
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