LOWER SEMI-TAYLOR MAPPINGS AND SUFFICIENT CONDITIONS FOR AN EXTREMUM

Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI:10.1070/SM1992V073N01ABEH002544

M. Sukhinin

引用次数: 4

Abstract

Sufficient conditions for an extremum of second-order type are considered on the basis of the concepts (introduced in the paper) of -Taylor mappings and lower -semi-Taylor mappings, where is a norm in a linear space , and is a topology in a subset . Examples are given illustrating the novelty of the results obtained. Among the references devoted to sufficient conditions for an extremum, [1] (§3.4) and [2] (§6) should be mentioned.

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下半泰勒映射和极值的充分条件

本文根据-泰勒映射和下半泰勒映射的概念，考虑二阶型极值的充分条件，其中是线性空间中的范数，是子集中的拓扑。举例说明所得结果的新颖性。在关于极值的充分条件的论述中，应当提到[1](§3.4)和[2](§6)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Mathematics of The Ussr-sbornik

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