Collectively fixed-point theorems in noncompact G-convex spaces

✍ Scribed by Xie Ping Ding; Jong Yeoul Park

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 381 KB
• Volume: 16
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(03)80022-8

✦ Synopsis

In this paper, by applying the technique of continuous partition of unity and Tychonoff's fixed-point theorem, some new collectively fixed-point theorems for a family of set-valued mappings defined on the product space of noncompact G-convex spaces are proved. Our theorems improve, unify, and generalize many important collectively fixed-point theorems in recent literature.