Discontinuous implicit generalized quasi-variational inequalities in Banach spaces

Cubiotti, Paolo; Yao, Jen‐Chih

doi:10.1007/s10898-006-9048-6

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“…See for instance Cubiotti ( -2005, Li (2004), Yao (1992Yao ( -1994, Yen (1994Yen ( , 1995, and references therein. Also, results about the existence of weak solutions for generalized vector variational inequality problem were investigated by many authors.…”

Section: Introductionmentioning

confidence: 99%

Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators

Kien

Wong

Yao

2008

Nonlinear Analysis: Theory, Methods & Applications

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Abstract. In this paper we deal with the following generalized vector variational inequality problem: let X, Y and Z be topological vector spaces, K be a convex set in X, D be a nonempty set in Y , and C be a closed convex cone in Z. Let T : K → 2 D be a multifunction andWe prove some existence theorems in which T can be discontinuous, or K can be unbounded, and a existence theorem in which T is pseudomonotone.

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