强伪不变凸性和强伪不变单调性的等价性

数学季刊 ›› 2011, Vol. 26 ›› Issue (4): 608-612.

强伪不变凸性和强伪不变单调性的等价性

College of Mathematics Science, Chongqing Normal University

收稿日期:2009-12-02 出版日期:2011-12-30 发布日期:2023-04-17
作者简介:ZHAO Ke-quan(1979-), male, native of Chongqing, a Ph.D. student, engages in generalized convexity and the applications in mathematical programming and optimization theory.
基金资助:
Supported by the National Science Foundation of China(10831009)； Supported by the Special Fund of Chongqing Key Laboratory(CSTC)； Supported by the Education Committee Research Foundation of Chongqing(KJ110625)；

The Equivalence about Strongly Pseudoinvexity and Strongly Invariant Pseudomonotonicity

College of Mathematics Science, Chongqing Normal University

Received:2009-12-02 Online:2011-12-30 Published:2023-04-17
About author:ZHAO Ke-quan(1979-), male, native of Chongqing, a Ph.D. student, engages in generalized convexity and the applications in mathematical programming and optimization theory.
Supported by:
Supported by the National Science Foundation of China(10831009)； Supported by the Special Fund of Chongqing Key Laboratory(CSTC)； Supported by the Education Committee Research Foundation of Chongqing(KJ110625)；

摘要/Abstract

摘要： In this paper, the equivalence is established about strongly pseudoinvexity of function and invariant pseudomonotonicity of corresponding gradient map under some suitable conditions.

关键词: strictly pseudoinvexity, strongly pseudoinvexity, strictly invariant pseudomonotonicity, strongly invariant pseudomonotonicity

Abstract: In this paper, the equivalence is established about strongly pseudoinvexity of function and invariant pseudomonotonicity of corresponding gradient map under some suitable conditions.

Key words: strictly pseudoinvexity, strongly pseudoinvexity, strictly invariant pseudomonotonicity, strongly invariant pseudomonotonicity

中图分类号:

O221.2

赵克全, 陈哲, 杨新民. 强伪不变凸性和强伪不变单调性的等价性[J]. 数学季刊, 2011, 26(4): 608-612.

ZHAO Ke-quan, CHEN Zhe, YANG Xin-min. The Equivalence about Strongly Pseudoinvexity and Strongly Invariant Pseudomonotonicity[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 608-612.

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