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Quasi‐Variational Inequalities in Topological Linear Locally Convex Hausdorff Spaces
Author(s) -
Tan Nguyen Xuan
Publication year - 1985
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19851220123
Subject(s) - mathematics , hausdorff space , regular polygon , hausdorff distance , boundary (topology) , variational inequality , compact space , pure mathematics , inequality , property (philosophy) , locally convex topological vector space , topological vector space , topological space , topology (electrical circuits) , mathematical analysis , combinatorics , geometry , philosophy , epistemology
Abstract This paper will present some results on quasivariational inequality { C, E, P, Φ } in topological linear locally convex Hausdorff spaces. We shall be concerning with quasivariational inequalities defined on subsets which are convexe closed, or only closed. The compactness of the subset C is replaced by the condensing property of the mapping E . Further, we also obtain some results for quasivariational inequality { C, E, P, Φ }, where the multivalued mapping E maps C into 2 X and satisfies a general inward boundary condition.