Some properties of geodesic semi E-b-vex functions

被引：4

作者：

Kilicman, Adem ^{[1
,2
]}

Saleh, Wedad ^{[1
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia

[2] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

来源：

OPEN MATHEMATICS | 2015年 / 13卷

关键词：

Convexity; Geodesic E-convexity; Geodesic E-convex functions; Nonlinear programming; Riemannian manifolds; E-CONVEX FUNCTIONS; SETS;

D O I：

10.1515/math-2015-0074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.

引用

页码：795 / 804

页数：10

共 21 条

[11] On geodesic strongly E-convex sets and geodesic strongly E-convex functions [J].

Kilicman, Adem ;

Saleh, Wedad .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,

[12] A Note on Starshaped Sets in 2-Dimensional Manifolds without Conjugate Points [J].

Kilicman, Adem ;

Saleh, Wedad .

JOURNAL OF FUNCTION SPACES, 2014, 2014

[13] The geometry of Minkowski spaces - A survey. Part II [J].

Martini, H ;

Swanepoel, KJ .

EXPOSITIONES MATHEMATICAE, 2004, 22 (02) :93-144

[14] Some properties of semi E-b-vex functions [J].

Mishra, S. K. ;

Mohapatra, R. N. ;

Youness, E. A. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) :5525-5530

[15]

Rapcsak T., 1997, SMOOTH NONLINEAR OPT

[16]

Saleh W., 2015, JP J GEOMETRY TOPOLO, V17, P63, DOI DOI 10.17654/JPGTFEB2015_063_082

[17] Some properties of E-convex functions [J].

Syau, YR ;

Lee, ES .

APPLIED MATHEMATICS LETTERS, 2005, 18 (09) :1074-1080

[18]

Udrist C., 1994, CONVEX FUNCIONS OPTI

[19]

Valentine F.A., 1964, MCGRAW HILL SERIES H

[20] On E-convex sets, E-convex functions, and E-convex programming [J].

Yang, XM .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 109 (03) :699-704

← 1 2 3 →