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Optimal Set in Ordered Linear Space

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Abstract

In earlier paper [4], we introduced generalized supremum and infimam for a subset A of a partially ordered linear space E generalizing the notion of supremum and infimum in Riesz space and considered properties of generalized supremum and infimum. In this paper we shall introduce optimal set for a subset A of E in order to make new optimization theory in the direction of order relations.

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  1. Kita-ku, Tonden 2-2-4-8, Sapporo, Japan

    Shozo Koshi

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  1. Shozo Koshi
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Correspondence to Shozo Koshi.

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Dedicated to late Professor Edwin Hewitt

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Koshi, S. Optimal Set in Ordered Linear Space. Results. Math. 37, 274–282 (2000). https://doi.org/10.1007/BF03321997

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  • DOI: https://doi.org/10.1007/BF03321997

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