Convergence Theorems for Best Approximations in a Nonreflexive Banach Space |
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| Authors: | Jian-Hua Wang |
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| Institution: | Department of Mathematics, Anhui Normal University, Wuhu, Anhui, 241000, People's Republic of China |
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| Abstract: | In this paper, we study continuity properties of the mappingP: (x, A)→PA(x) in a nonreflexive Banach space where PA is the metric projection onto A. Our results extend the existing convergence theorems on the best approximations in a reflexive Banach space to nonreflexive Banach spaces by using Wijsman convergence of sets. |
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