Existence Results for Vector Mixed Quasi-Complementarity Problems | Zendy

Suhel Ahmad Khan | Zendy; Naeem Ahmad | Zendy

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Existence Results for Vector Mixed Quasi-Complementarity Problems

Author(s) -

Suhel Ahmad Khan,

Naeem Ahmad

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/204348

Subject(s) - mathematics , complementarity (molecular biology) , complementarity theory , lemma (botany) , equivalence (formal languages) , mixed complementarity problem , banach space , variational inequality , pure mathematics , inequality , mathematical analysis , nonlinear system , ecology , genetics , physics , poaceae , quantum mechanics , biology

We introduce strong vector mixed quasi-complementarity problems and the corresponding strong vector mixed quasi-variational inequality problems. We establish equivalence between strong mixed quasi-complementarity problems and strong mixed quasi-variational inequality problem in Banach spaces. Further, using KKM-Fan lemma, we prove the existence of solutions of these problems, under pseudomonotonicity assumption. The results presented in this paper are extensions and improvements of some earlier and recent results in the literature

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