Isotone cones in Banach spaces and applications to best approximations of operators without continuity conditions |
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| Authors: | Jinlu Li |
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| Institution: | Department of Mathematics, Shawnee State University, Portsmouth, OH, USA |
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| Abstract: | In this paper, we introduce the concept of isotone cones in Banach spaces. Then, we apply the order monotonic property of the metric projection operator to prove the existence of best approximations for some operators without continuity conditions in partially ordered Banach spaces. |
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| Keywords: | Isotone cone Chebyshev isotone cone universally inductive poset partially ordered Banach space fixed point best approximation |
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