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Simultaneous solutions to fixed point and minimax-type inequality problems (II)
Authors:Jiang Jiahe
Affiliation:(1) Department of Mathematics, University of Electronic Science and Technology, 610054 Chengdu, China
Abstract:As important applications of minimax-type inequalities for a family of functions in [3], in the present paper there are given a number of existence theorems on simultaneous solutions to fixed point and minimax-type inequality problems and to fixed point and variational-type inequality problems, not only abolishing the paracompactness hypothesis on the underlying space and weakening the others in the results in [1], but also making them still nicer in form with still more concise and straightforward proofs. Supported both by the National Natural Science Foundation of China and by the Institute of Mathematics, Academia Sinica
Keywords:Fixed point  Minimax-type inequality  Variational-type inequality  Strongly decomposable mapping  Monotone mapping
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