Polyhedral complementarity and fixed points problem of decreasing regular mappings on simplex

Polyhedral complementarity and fixed points problem of decreasing regular mappings on simplex Full article

Journal

CEUR Workshop Proceedings
ISSN: 1613-0073

Output data

Year: 2017, Volume: 1987, Pages: 511-516 Pages count : 6

Authors

Shmyrev V.I. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, Russian Academy of Sciences, 4 Acad. Koptyug avenue, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 2 Pirogova street, Novosibirsk, 630090, Russian Federation

A new development of polyhedral complementarity investigation is presented. This consideration extends the author's original approach to the equilibrium problem in a linear exchange model and its variations. Two polyhedral complexes in duality and a cells correspondence are given. The problem is to find a point of intersection of the cells corresponding each other. This is a natural generalization of linear complementarity problem. Now we study arising point-to-set mappings without the original exchange model. The potentiality for a special class of regular mappings is proved. As a result the fixed point problem of mapping reduces to an optimization problem. Two finite algorithms for this problem are considered.

Shmyrev V.I.
Polyhedral complementarity and fixed points problem of decreasing regular mappings on simplex
CEUR Workshop Proceedings. 2017. V.1987. P.511-516. Scopus

Scopus:

2-s2.0-85036660559

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