Two properties of semistrictly preinvex functions

X. M. Yang; Xiaoqi Yang; K. L. Teo

Two properties of semistrictly preinvex functions

X. M. Yang, Xiaoqi Yang, K. L. Teo

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

We consider in this paper the class of semistrictly preinvex functions introduced by Yang and Li (2001, J. Math. Anal. Appl., 258, 287-308). Two properties of semistrictly preinvex functions are given. These properties include a gradient criterion of semistrictly preinvex functions and a criterion of semistrictly preinvex functions in terms of intermediate-point semistrict and prequasiinvexity. In particular, one of them improves Yang and Li's an interesting result.

Original language	English
Pages (from-to)	1285-1292
Number of pages	8
Journal	Indian Journal of Pure and Applied Mathematics
Volume	35
Issue number	11
Publication status	Published - 1 Nov 2004

Keywords

Gradient, Properties
Prequasiinvexity
Semistrictly Preinvex Functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Cite this

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abstract = "We consider in this paper the class of semistrictly preinvex functions introduced by Yang and Li (2001, J. Math. Anal. Appl., 258, 287-308). Two properties of semistrictly preinvex functions are given. These properties include a gradient criterion of semistrictly preinvex functions and a criterion of semistrictly preinvex functions in terms of intermediate-point semistrict and prequasiinvexity. In particular, one of them improves Yang and Li's an interesting result.",

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T1 - Two properties of semistrictly preinvex functions

AU - Yang, X. M.

AU - Yang, Xiaoqi

AU - Teo, K. L.

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N2 - We consider in this paper the class of semistrictly preinvex functions introduced by Yang and Li (2001, J. Math. Anal. Appl., 258, 287-308). Two properties of semistrictly preinvex functions are given. These properties include a gradient criterion of semistrictly preinvex functions and a criterion of semistrictly preinvex functions in terms of intermediate-point semistrict and prequasiinvexity. In particular, one of them improves Yang and Li's an interesting result.

AB - We consider in this paper the class of semistrictly preinvex functions introduced by Yang and Li (2001, J. Math. Anal. Appl., 258, 287-308). Two properties of semistrictly preinvex functions are given. These properties include a gradient criterion of semistrictly preinvex functions and a criterion of semistrictly preinvex functions in terms of intermediate-point semistrict and prequasiinvexity. In particular, one of them improves Yang and Li's an interesting result.

KW - Gradient, Properties

KW - Prequasiinvexity

KW - Semistrictly Preinvex Functions

UR - https://www.scopus.com/pages/publications/20344363676

M3 - Journal article

SN - 0019-5588

VL - 35

SP - 1285

EP - 1292

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 11

ER -

Two properties of semistrictly preinvex functions

Abstract

Keywords

ASJC Scopus subject areas

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