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Sibirskii Zhurnal Industrial'noi Matematiki, 2018, Volume 21, Number 1, Pages 118–128
DOI: https://doi.org/10.17377/sibjim.2018.21.000 (Mi sjim994) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Polyhedral complementarity on a simplex. Potentiality of regular mappings

V. I. Shmyrevab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
Full-text PDF (291 kB) Citations (3)
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DOI: https://doi.org/10.17377/sibjim.2018.21.000
Abstract: We consider a special class of the fixed point problems for piecewise constant mappings of a simplex into itself. These are polyhedral complementarity problems arising in studying the classical exchange model and its variations. We study the problems that stem from the consideration of models with fixed budgets and possessing a certain property of monotonicity (logarithmic monotonicity). Our considerations are purely mathematical and not associated with the economic models that gave rise to these mathematical objects. The class of regular mappings is investigated, and their potentiality is proved.
Keywords: linear complementarity, polyhedral complex, monotonicity, potentiality of mapping, homology group.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00108-а
Received: 02.03.2017
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 1, Pages 167–176
DOI: https://doi.org/10.1134/S1990478918010155
Bibliographic databases:
Document Type: Article
UDC: 519.865.3
Language: Russian
Citation: V. I. Shmyrev, “Polyhedral complementarity on a simplex. Potentiality of regular mappings”, Sib. Zh. Ind. Mat., 21:1 (2018), 118–128; J. Appl. Industr. Math., 12:1 (2018), 167–176
Citation in format AMSBIB
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\paper Polyhedral complementarity on a~simplex. Potentiality of regular mappings
\jour Sib. Zh. Ind. Mat.
\yr 2018
\vol 21
\issue 1
\pages 118--128
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\elib{https://elibrary.ru/item.asp?id=32872887}
\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 1
\pages 167--176
\crossref{https://doi.org/10.1134/S1990478918010155}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043239409}
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    • This publication is cited in the following 3 articles:
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