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some remarks on the paper ”global optimization in metric spaces with partial orders
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نویسنده
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gabeleh moosa ,markin jack
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منبع
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mathematical analysis and convex optimization - 2021 - دوره : 2 - شماره : 1 - صفحه:71 -78
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چکیده
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The aim of this note is to show that the main conclusion of a recent paper by sadiq basha [s. sadiq basha, global optimization in metric spaces with partial orders, optimization, 63 (2014), 817-825] can be obtained as a consequence of corresponding existing results in fixed point theory in the setting of partially ordered metric spaces. moreover, by a similar approach, we prove that in the paper [v. pragadeeswarar, m. marudai, best proximity points: approximation and optimization in partially ordered metric spaces, optim. lett. 7 (2013), 1883–1892] the results are not real generalizations but particular cases of existing fixed point theorems in the literature.
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کلیدواژه
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partially ordered set; proximally increasing mapping; ordered proximal contraction; best proximity point
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آدرس
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ayatollah boroujerdi university, department of mathematics, iran, , usa
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پست الکترونیکی
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jmarkin@newmexico.com
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Authors
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