Applications of W. A. Kirk's fixed-point theorem to generalized nonlinear variational-like inequalities in reflexive Banach spaces (Q2498201)
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| English | Applications of W. A. Kirk's fixed-point theorem to generalized nonlinear variational-like inequalities in reflexive Banach spaces |
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Applications of W. A. Kirk's fixed-point theorem to generalized nonlinear variational-like inequalities in reflexive Banach spaces (English)
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28 August 2006
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The authors introduced and studied a class of generalized nonlinear variational-like inequalties in reflexive Banach spaces. By using Kirk's fixed point theorem and the minimax inequality due to Ding and Tan, the authors proved the existence theorems of solutions for the generalized nonlinear variational-like inequalties under some conditions.
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Variational-like inequality
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nonlinear mapping
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fixed point theorem
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minimax inequality
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