Existence results for generalized nonlinear vector variational-like inequalities with set-valued mapping |
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| Authors: | Gang Xiao Zhiqiang Fan Xiaogang Qi |
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| Institution: | 1. Department of Math and Information Technology, Hanshan Normal University, Chaozhou, Guangdong 521041, PR China;2. Department of Fundamental Education, Xinjiang Polytechnical College, Urumchi, Xinjiang 830091, PR China;3. School of Science, Xidian University, Xi’an, Shaanxi 710071, PR China |
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| Abstract: | In this paper, we introduce and study a class of generalized nonlinear vector variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and generalized vector variational-like inequality problems and so on. Applying maximal element theorem, we prove the existence of its solutions in the setting of locally convex topological vector space. |
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