Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces |
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| Authors: | Dezhou Kong Lishan Liu Yonghong Wu |
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| Affiliation: | 1.College of Information Science and Engineering,Shandong Agricultural University,Taian,China;2.School of Mathematical Sciences,Qufu Normal University,Qufu,China;3.Department of Mathematics and Statistics,Curtin University,Perth,Australia |
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| Abstract: | ![]()
In this paper, we discuss isotonicity characterizations of the metric projection operator, including its necessary and sufficient conditions for isotonicity onto sublattices in Banach spaces. Then, we demonstrate their applications to variational inequalities and fixed point theory in Banach spaces. Our work generalizes many existing results obtained in earlier work. |
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