Polyhedral Complementarity on a Simplex. Potentiality of Regular Mappings

Polyhedral Complementarity on a Simplex. Potentiality of Regular Mappings Full article

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Output data

Year: 2018, Volume: 12, Number: 1, Pages: 167-176 Pages count : 10 DOI: 10.1134/S1990478918010155

Tags

homology group; linear complementarity; monotonicity; polyhedral complex; potentiality of mapping

Authors

Shmyrev V.I. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russian Federation

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. © 2018, Pleiades Publishing, Ltd.

Shmyrev V.I.
Polyhedral Complementarity on a Simplex. Potentiality of Regular Mappings
Journal of Applied and Industrial Mathematics. 2018. V.12. N1. P.167-176. DOI: 10.1134/S1990478918010155 Scopus OpenAlex

Shmyrev V.I.
Полиэдральная комплементарность на симплексе. Потенциальность регулярных отображений
Сибирский журнал индустриальной математики. 2018. Т.21. №1. С.118–128. РИНЦ

Scopus:	2-s2.0-85043239409
OpenAlex:	W2792402325

DB	Citing
Scopus	2
OpenAlex	3