Vector implicit quasi complementarity problems | Zendy

Suhel Ahmad Khan | Zendy; Byung Soo Lee | Zendy

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Vector implicit quasi complementarity problems

Author(s) -

Suhel Ahmad Khan,

Byung Soo Lee

Publication year - 2012

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2012.08.001

Subject(s) - complementarity theory , mathematics , complementarity (molecular biology) , variational inequality , mixed complementarity problem , pure mathematics , nonlinear system , genetics , physics , quantum mechanics , biology

In this work, we establish some existence theorems for solutions to a new class of vector implicit quasi complementarity problems and the corresponding vector implicit quasi variational inequality problems. Further we introduce the notion of a local non-positivity of a pair of mappings (F, Q) and consider the existence and properties of solutions for vector implicit quasi variational inequality problems and the corresponding vector implicit quasi complementarity problems in the neighborhood of a given point belonging to an underlined domain K

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