Vector Variational Inequality Problems with Generalized $C(x)$-$L$-pseudomonotone Set-valued Mappings

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2004, v.11 no.2, pp.155-166

Lee, Byung-Soo (Department of Mathematics, Kyungsung University)
Kang, Mee-Kwang (Departemtn of Mathematics, Dongeui University)

Lee, Byung-Soo, & Kang, Mee-Kwang. (2004). VECTOR VARIATIONAL INEQUALITY PROBLEMS WITH GENERALIZED C(x)-L-PSEUDOMONOTONE SET-VALUED MAPPINGS. 한국수학교육학회지시리즈B:순수및응용수학, 11(2), 155-166.

복사

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

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논문 상세

Vol.11 No.2

VECTOR VARIATIONAL INEQUALITY PROBLEMS WITH GENERALIZED C(x)-L-PSEUDOMONOTONE SET-VALUED MAPPINGS

Vector Variational Inequality Problems with Generalized $C(x)$-$L$-pseudomonotone Set-valued Mappings

Abstract

한국수학교육학회지시리즈B:순수및응용수학