中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 系统科学研究所
Gap function for set-valued vector variational-like inequalities

文献类型：期刊论文

作者Mishra, S. K.1,2; Wang, S. Y.3; Lai, K. K.2
刊名JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
出版日期2008-07-01
卷号138期号:1页码:77-84
关键词vector variational-like inequalities set-valued mappings gap functions existence of a solution semidefinite programming
ISSN号0022-3239
DOI10.1007/s10957-008-9401-7
英文摘要Variational-like inequalities with set-valued mappings are very useful in economics and nonsmooth optimization problems. In this paper, we study the existence of solutions and the formulation of solution methods for vector variational-like inequalities (VVLI) with set-valued mappings. We introduce gap functions and establish necessary and sufficient conditions for the existence of a solution of the VVLI. We investigate the existence of a solution for the generalized VVLI with a set-valued mapping by exploiting the existence of a solution of the VVLI with a single-valued function and a continuous selection theorem.
WOS研究方向Operations Research & Management Science ; Mathematics
语种英语
WOS记录号WOS:000256431200006
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6173]  
专题系统科学研究所
通讯作者Mishra, S. K.
作者单位1.Govind Ballabh Pant Univ Agr & Technol, Dept Math & Stat, Coll Basic Sci & Humanities, Pantnagar 263145, Uttar Pradesh, India
2.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Mishra, S. K.,Wang, S. Y.,Lai, K. K.. Gap function for set-valued vector variational-like inequalities[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2008,138(1):77-84.
APA Mishra, S. K.,Wang, S. Y.,&Lai, K. K..(2008).Gap function for set-valued vector variational-like inequalities.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,138(1),77-84.
MLA Mishra, S. K.,et al."Gap function for set-valued vector variational-like inequalities".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 138.1(2008):77-84.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。