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Applications of W. A. Kirk's fixed-point theorem to generalized nonlinear variational-like inequalities in reflexive Banach spaces
Journal of Inequalities and Applications volume 2005, Article number: 634163 (2005)
Abstract
We introduce and study a new class of generalized nonlinear variational-like inequalities, which includes these variational inequalities and variational-like inequalities due to Bose, Cubiotti, Dien, Ding, Ding and Tarafdar, Noor, Parida, Sahoo, and Kumar, and Yao, and others as special cases. By applying Kirk's fixed-point theorem and Ding-Tan minimax inequality, we establish the existence theorems of solutions for the generalized nonlinear variational-like inequalities in reflexive Banach spaces.
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Liu, Z., Ume, J.S. & Kang, S.M. Applications of W. A. Kirk's fixed-point theorem to generalized nonlinear variational-like inequalities in reflexive Banach spaces. J Inequal Appl 2005, 634163 (2005). https://doi.org/10.1155/JIA.2005.251
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DOI: https://doi.org/10.1155/JIA.2005.251