基本信息来源于合作网站,原文需代理用户跳转至来源网站获取       
摘要:
In the present paper the definition of invexity for continuous functions is extended to invexity of order m which is further generalized to ρ-pseudoinvexity type I of order m, ρ-pseudoinvexity type II of order m, as well as ρ-quasi invexity type I of order m and ρ-quasiinvexity type II of order m. The central objective of the paper is to study variational problem where the functionals involved satisfy the above stated generalized ρ-invexity assumptions of order m. Wolfe type and Mond Weir type of duals are formulated. Sufficient optimality conditions and duality results are proved. It is demonstrated with the help of an example that the class of ρ-invex functionals of order m is more general than the class of ρ-invex functionals. Further, it may be noted that the results presented in this paper are more powerful than the existing results as this new class of functions defined here satisfies mth derivative test.
推荐文章
In-situ nitrogen fate in the vadose zone of different soil types and its implications for groundwate
Vadose zone
Silty-loam
Silty-clay-loam
Nitrogen transformation
Groundwater vulnerability
Stable isotopes
香菇菌株ITS序列分子检测
香菇
菌株
ITS5.8srDNA
特异引物
内容分析
关键词云
关键词热度
相关文献总数  
(/次)
(/年)
文献信息
篇名 Generalized Invexity of Higher Order and Its Applications in Variational Problems
来源期刊 应用数学(英文) 学科 数学
关键词 OPTIMALITY VARIATIONAL Problem HIGHER Order ρ-Invexity DUALITY
年,卷(期) yysxyw_2015,(9) 所属期刊栏目
研究方向 页码范围 1638-1648
页数 11页 分类号 O1
字数 语种
DOI
五维指标
传播情况
(/次)
(/年)
引文网络
引文网络
二级参考文献  (0)
共引文献  (0)
参考文献  (0)
节点文献
引证文献  (0)
同被引文献  (0)
二级引证文献  (0)
2015(0)
  • 参考文献(0)
  • 二级参考文献(0)
  • 引证文献(0)
  • 二级引证文献(0)
研究主题发展历程
节点文献
OPTIMALITY
VARIATIONAL
Problem
HIGHER
Order
ρ-Invexity
DUALITY
研究起点
研究来源
研究分支
研究去脉
引文网络交叉学科
相关学者/机构
期刊影响力
应用数学(英文)
月刊
2152-7385
武汉市江夏区汤逊湖北路38号光谷总部空间
出版文献量(篇)
1878
总下载数(次)
0
论文1v1指导