Invariant monotone vector fields on Riemannian manifolds

被引：34
作者：
Barani, A. [1 ]
Pouryayevali, M. R. [1 ]
机构：
[1] Univ Isfahan, Dept Math, Esfahan, Iran
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 05期
关键词：
Generalized invex functions; Monotone vector fields; Invariant monotone vector fields; Riemannian manifolds; GENERALIZED MONOTONICITY; CONVEXITY; ALGORITHM; CRITERIA;
D O I：
10.1016/j.na.2008.02.085
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Various concepts of invariant monotone vector fields on Riemannian manifolds are introduced. Some examples of invariant monotone vector fields are given. Several notions of invexities for functions on Riemannian manifolds are defined and their relations with invariant monotone vector fields are studied. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1850 / 1861
页数：12
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