E. S. Zhukovskii, “On Coincidence Points of Multivalued Vector Mappings of Metric Spaces”, Mat. Zametki, 100:3 (2016), 344–362; Math. Notes, 100:3 (2016), 363

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Matematicheskie Zametki, 2016, Volume 100, Issue 3, Pages 344–362
DOI: https://doi.org/10.4213/mzm10675 (Mi mzm10675)

This article is cited in 17 scientific papers (total in 17 papers)

On Coincidence Points of Multivalued Vector Mappings of Metric Spaces

E. S. Zhukovskii^ab

^a Tambov State University named after G.R. Derzhavin
^b Peoples Friendship University of Russia, Moscow

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DOI: https://doi.org/10.4213/mzm10675

Abstract: The notion of metric regularity can be extended to multivalued mappings acting in the products of metric spaces. A vector analog of Arutyunov's coincidence-point theorem for two multivalued mappings is proved. Statements on the existence and estimates of solutions of systems of inclusions of special form occurring in the multiple fixed-point problem are obtained. In particular, these results imply some well-known double-point theorems.

Keywords: vector-metrically regular multivalued mapping, junction points, multiple fixed points.

Funding agency	Grant number
Russian Science Foundation	15-11-10021
This work was supported by the Russian Science Foundation under grant 15-11-10021.

Received: 22.12.2014
Revised: 01.02.2016

English version:
Mathematical Notes, 2016, Volume 100, Issue 3, Pages 363–379
DOI: https://doi.org/10.1134/S0001434616090030

Bibliographic databases:

Document Type: Article

UDC: 517.988.6+517.922

Language: Russian

Citation: E. S. Zhukovskii, “On Coincidence Points of Multivalued Vector Mappings of Metric Spaces”, Mat. Zametki, 100:3 (2016), 344–362; Math. Notes, 100:3 (2016), 363–379

Citation in format AMSBIB

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Linking options:

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https://doi.org/10.4213/mzm10675

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This publication is cited in the following 17 articles:

T. N. Fomenko, “Zeros of Conic Functions, Fixed Points, and Coincidences”, Dokl. Math., 2024
E. S. Zhukovskiy, E. A. Panasenko, “The method of comparison with a model equation in the study of inclusions in vector metric spaces”, Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S239–S254
T. N. Fomenko, “Zeros of conic functions, fixed points and coincidences”, Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, 517:1 (2024), 74
E. S. Zhukovskiy, “Geometric progressions in distance spaces; applications to fixed points and coincidence points”, Sb. Math., 214:2 (2023), 246–272
E. A. Panasenko, “On Operator Inclusions in Spaces with Vector-Valued Metrics”, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S222–S242
Arutyunov V A. Zhukovskiy E.S. Zhukovskiy S.E. Zhukovskaya Z.T., “Kantorovich'S Fixed Point Theorem and Coincidence Point Theorems For Mappings in Vector Metric Spaces”, Set-Valued Var. Anal., 30:2 (2022), 397–423
V. Merchela, “Vklyucheniya s otobrazheniyami, deistvuyuschimi iz metricheskogo prostranstva v prostranstvo s rasstoyaniem”, Vestnik rossiiskikh universitetov. Matematika, 27:137 (2022), 27–36
A. V. Arutyunov, E. A. Pluzhnikova, “O zadache Koshi dlya neyavnykh differentsialnykh uravnenii vysshikh poryadkov”, Vestnik rossiiskikh universitetov. Matematika, 26:136 (2021), 348–362
T. V. Zhukovskaya, V. Merchela, A. I. Shindyapin, “O tochkakh sovpadeniya otobrazhenii v obobschennykh metricheskikh prostranstvakh”, Vestnik rossiiskikh universitetov. Matematika, 25:129 (2020), 18–24
E. S. Zhukovskii, V. Merchela, “O nepreryvnoi zavisimosti ot parametra mnozhestva reshenii operatornogo uravneniya”, Izv. IMI UdGU, 54 (2019), 27–37
S. Benarab, E. S. Zhukovskii, V. Merchela, “Teoremy o vozmuscheniyakh nakryvayuschikh otobrazhenii v prostranstvakh s rasstoyaniem i v prostranstvakh s binarnym otnosheniem”, Tr. IMM UrO RAN, 25, no. 4, 2019, 52–63
T. V. Zhukovskaya, E. A. Pluzhnikova, “Mnozhestvo regulyarnosti mnogoznachnogo otobrazheniya v prostranstve s vektornoznachnoi metrikoi”, Vestnik rossiiskikh universitetov. Matematika, 24:125 (2019), 39–46
B. D. Gel'man, “Periodic Trajectories and Coincidence Points of Tuples of Set-Valued Maps”, Funct. Anal. Appl., 52:2 (2018), 139–143
E. S. Zhukovskiy, “The fixed points of contractions of $f$ -quasimetric spaces”, Siberian Math. J., 59:6 (2018), 1063–1072
E. A. Pluzhnikova, T. V. Zhukovskaya, Yu. A. Moiseev, “O mnozhestvakh metricheskoi regulyarnosti otobrazhenii v prostranstvakh s vektornoznachnoi metrikoi”, Vestnik Tambovskogo universiteta. Seriya: estestvennye i tekhnicheskie nauki, 23:123 (2018), 547–554
A. V. Arutyunov, S. E. Zhukovskiy, “Coincidence points of mappings in vector metric spaces with applications to differential equations and control systems”, Differ. Equ., 53:11 (2017), 1440–1448
E. A. Pluzhnikova, Yu. A. Moiseev, A. A. Repin, “O tochkakh sovpadeniya dvukh mnogoznachnykh otobrazhenii v prostranstvakh s vektornoznachnoi metrikoi”, Vestnik Tambovskogo universiteta. Seriya: estestvennye i tekhnicheskie nauki, 22:6 (2017), 1309–1313

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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