Existence theorems for generalized vector variational inequalities with a variable ordering relation |
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Authors: | Lu-Chuan Ceng Shuechin Huang |
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Institution: | (1) Department of Mathematics, Shanghai Normal University, Shanghai, China;(2) Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan; |
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Abstract: | In this paper we study the solvability of the generalized vector variational inequality problem, the GVVI problem, with a
variable ordering relation in reflexive Banach spaces. The existence results of strong solutions of GVVIs for monotone multifunctions
are established with the use of the KKM-Fan theorem. We also investigate the GVVI problems without monotonicity assumptions
and obtain the corresponding results of weak solutions by applying the Brouwer fixed point theorem. These results are also
the extension and improvement of some recent results in the literature. |
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Keywords: | |
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