Some properties of geodesic semi-E-convex functions

被引:20
作者
Iqbal, Akhlad [1 ]
Ahmad, I. [2 ]
Ali, Shahid [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
关键词
Geodesic E-convex sets; Geodesic E-convex functions; Geodesic semi-E-convex functions; E-epigraphs; Riemannian manifolds; PREINVEX; SETS;
D O I
10.1016/j.na.2011.07.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce a new class of functions called geodesic semi-E-convex functions and discuss some of their properties. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:6805 / 6813
页数:9
相关论文
共 14 条
[1]  
Abou-Tair I. A., 1999, INT J MATH MATH SCI, V22, P543
[2]  
AGARWAL RP, 2011, GEODESIC G INVEX SET
[3]  
[Anonymous], 1994, CONVEX FUNCTIONS OPT
[4]  
Duca DI, 2006, J OPTIMIZ THEORY APP, V129, P341, DOI [10.1007/s10957-006-9059-y, 10.1007/s10957-006-9059-v]
[5]  
Duca DI, 2000, Bull Appl Comput Math, V43, P93
[6]   Nonlinear programming with E-preinvex and local E-preinvex functions [J].
Fulga, C. ;
Preda, V. .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2009, 192 (03) :737-743
[7]  
IQBAL A, J NONLINEAR IN PRESS
[8]  
JIMENEZ MA, 2010, DUALITY, V73, P1109
[9]   New approximation schemes for general variational inequalities [J].
Noor, MA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 251 (01) :217-229
[10]   FUZZY PREINVEX FUNCTIONS [J].
NOOR, MA .
FUZZY SETS AND SYSTEMS, 1994, 64 (01) :95-104