TY - JOUR

T1 - Polyhedral complementarity and fixed points problem of decreasing regular mappings on simplex

AU - Shmyrev, Vadim I.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85036660559&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85036660559

VL - 1987

SP - 511

EP - 516

JO - CEUR Workshop Proceedings

JF - CEUR Workshop Proceedings

SN - 1613-0073

ER -