Equivalents of an approximate variational principle for vector-valued functions and applications
文献类型：期刊论文
| 作者 | Chen, GY; Huang, XX; Lee, GM |
| 刊名 | MATHEMATICAL METHODS OF OPERATIONS RESEARCH
 |
| 出版日期 | 1999 |
| 卷号 | 49期号:1页码:125-136 |
| 关键词 | half distance vector variational principle fixed point of set-valued mappings directional contraction |
| ISSN号 | 1432-2994 |
| 英文摘要 | In [1], we gave a unified variational principle for vector valued functions. In this paper, we give four equivalents of a corollary of this principle, generalizing the equivalence results of [3] to the vector case and improving the equivalence results of [5]. We also applied one of the equivalents to derive the vector form of the "Drop Theorem" ([3]). Applying the unified variational principle, we obtained a fixed point theorem for directional contractions as an application of our vector variational principle, generalizing a fixed point theorem for directional contractions in [9]. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000079152400007 |
| 出版者 | PHYSICA VERLAG GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14393]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, GY |
| 作者单位 | 1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Pukyong Natl Univ, Dept Appl Math, Pusan 608739, South Korea |
| 推荐引用方式 GB/T 7714 | Chen, GY,Huang, XX,Lee, GM. Equivalents of an approximate variational principle for vector-valued functions and applications[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH,1999,49(1):125-136. |
| APA | Chen, GY,Huang, XX,&Lee, GM.(1999).Equivalents of an approximate variational principle for vector-valued functions and applications.MATHEMATICAL METHODS OF OPERATIONS RESEARCH,49(1),125-136. |
| MLA | Chen, GY,et al."Equivalents of an approximate variational principle for vector-valued functions and applications".MATHEMATICAL METHODS OF OPERATIONS RESEARCH 49.1(1999):125-136. |
入库方式： OAI收割
来源：数学与系统科学研究院
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