The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 11 Issue 2
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- Pages.155-166
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- 2004
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
VECTOR VARIATIONAL INEQUALITY PROBLEMS WITH GENERALIZED C(x)-L-PSEUDOMONOTONE SET-VALUED MAPPINGS
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Lee, Byung-Soo
(Department of Mathematics, Kyungsung University)
;
- Kang, Mee-Kwang (Departemtn of Mathematics, Dongeui University)
- Published : 2004.05.01
Abstract
In this paper, we introduce new monotone concepts for set-valued mappings, called generalized C(x)-L-pseudomonotonicity and weakly C(x)-L-pseudomonotonicity. And we obtain generalized Minty-type lemma and the existence of solutions to vector variational inequality problems for weakly C(x)-L-pseudomonotone set-valued mappings, which generalizes and extends some results of Konnov & Yao [11], Yu & Yao [20], and others Chen & Yang [6], Lai & Yao [12], Lee, Kim, Lee & Cho [16] and Lin, Yang & Yao [18].
Keywords
- Generalized C(x)-L-pseudomonotone;
- weakly C(x)-L-pseudomonotone;
- Minty-type lemma;
- variational inequality;
- KKM-Fan theorem