Strong Geodesic Convex Functions of Order m

被引：6
|
作者：
Iqbal, Akhlad [1 ]
Ahmad, Izhar [2 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2019年 / 40卷 / 15期
关键词：
Geodesic convex function; monotone vector field; Riemannian manifolds; variational inequality problem; VARIATIONAL-INEQUALITIES;
D O I：
10.1080/01630563.2019.1651740
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Strong geodesic convex function and strong monotone vector field of order m on Riemannian manifolds are established. A characterization of strong geodesic convex function of order m for the continuously differentiable functions is discussed. The relation between the solution of a new variational inequality problem and the strict minimizers of order m for a multiobjective programing problem is also established.
引用
收藏
页码：1840 / 1846
页数：7
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