半E预不变凸函数的性质和应用

数学季刊 ›› 2010, Vol. 25 ›› Issue (3): 436-443.

半E预不变凸函数的性质和应用

1. College of Science, Shanghai University2. College of Mathematics and Statistics, Chongqing Technology and Business University3. School of Science, Chongqing Jiaotong University4. Academy of Fine Arts, Chongqing Normal University

收稿日期:2008-05-08 出版日期:2010-09-30 发布日期:2023-05-29
作者简介:QUAN Jing(1975- ), male, native of Chongqing, M.S.D., engages in global optimization theory.
基金资助:
Supported by Key Disciplines of Shanghai Municipality(Operations Research and Cybernetics)(S30104)； Supported by Shanghai Leading Academic Discipline Project(J50101)； Supported by National Science Foundation Project of CQCSTC(2009BB3372)；

Characterization and Applications of Semi-E-preinvex Functions

1. College of Science, Shanghai University2. College of Mathematics and Statistics, Chongqing Technology and Business University3. School of Science, Chongqing Jiaotong University4. Academy of Fine Arts, Chongqing Normal University

Received:2008-05-08 Online:2010-09-30 Published:2023-05-29
About author:QUAN Jing(1975- ), male, native of Chongqing, M.S.D., engages in global optimization theory.
Supported by:
Supported by Key Disciplines of Shanghai Municipality(Operations Research and Cybernetics)(S30104)； Supported by Shanghai Leading Academic Discipline Project(J50101)； Supported by National Science Foundation Project of CQCSTC(2009BB3372)；

摘要/Abstract

摘要： A class of sets called E-invex sets and a class of functions called E-preinvex functions, semi-E-preinvex functions and generalized semi-E-preinvex functions are introduced. They are the generalizations of E-convex sets, E-convex functions and semi-E-convex functions respectively, also the generalizations of invex sets and preinvex functions. Furthermore some optimality results of mathematical programming problems involved semi-E-preinvex functions and generalized semi-E-preinvex functions are obtained.

关键词: E-invex sets, E-preinvex functions, semi-E-preinvex functions

Abstract: A class of sets called E-invex sets and a class of functions called E-preinvex functions, semi-E-preinvex functions and generalized semi-E-preinvex functions are introduced. They are the generalizations of E-convex sets, E-convex functions and semi-E-convex functions respectively, also the generalizations of invex sets and preinvex functions. Furthermore some optimality results of mathematical programming problems involved semi-E-preinvex functions and generalized semi-E-preinvex functions are obtained.

Key words: E-invex sets, E-preinvex functions, semi-E-preinvex functions

中图分类号:

O174.13

全靖, 龙宪军, 彭再云, 谭英双. 半E预不变凸函数的性质和应用[J]. 数学季刊, 2010, 25(3): 436-443.

QUAN Jing, LONG Xian-jun, PENG Zai-yun, TAN Ying-shuang. Characterization and Applications of Semi-E-preinvex Functions [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(3): 436-443.

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