| 000 | nam k | |
| 001 | 2210080153927 | |
| 005 | 20140710142443 | |
| 007 | ta | |
| 008 | 910506s1989 bnk FB 000 kor | |
| 040 | ▼a221008 | |
| 041 | ▼akor▼beng | |
| 056 | ▼a414.5▼24 | |
| 100 | ▼a권중일 | |
| 245 | 00 | ▼aBanach空間에서의 非擴大寫像의 Asymptotic behavior /▼d權重一 |
| 260 | ▼a부산:▼b東亞大學校 敎育大學院,▼c1989 | |
| 300 | ▼ai,40 장;▼c26 cm | |
| 502 | ▼a학위논문(석사)--▼b東亞大學校 敎育大學院:▼c數學敎育專攻,▼d1989. 6 | |
| 520 | ▼b영문초록 : Let (E, Ⅱ) be a real Banach space and let C be a closed convex subset of E. A mapping T: C→C is called nonexpansive on C, or T∈Cont(C) if |Tx - Ty|□|x - y| ∀x, y∈C The purpose of this study is to study the asymptotic behavior of iterates T^(n)x in Banach spaces. In charter 3, in a real Hilbert space H, we study that □ tends to a limit y as n→∞ , and that R(I-T)^- has the minimum property. In chapter 4, we deal with the weak convergence of the sequence T^(n)x and the Cesaro mean S_(n)x of the sequence T^(n)x as n→∞ in H. we also study the some results concerning the strong convergence of S_(n)x in H. Finally, in chapter 5, we investigate in a smooth and uniformly convex Banach space E, the conditions that are equivalent to the existance of w-lim _(n→∞) T^(n)x. | |
| 650 | ▼a바나흐공간 | |
| 856 | ▼adonga.dcollection.net▼uhttp://donga.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002141797 | |
| 940 | ▼a바나흐공간에서의 비확대사상의 애심프토틱 비헤이버 | |
| 950 | ▼a비매품▼b￦3000▼c(추정가) | |
| 950 | ▼aFB |
Banach空間에서의 非擴大寫像의 Asymptotic behavior
종류
학위논문 동서
서명
Banach空間에서의 非擴大寫像의 Asymptotic behavior
저자명
발행사항
부산: 東亞大學校 敎育大學院 1989
형태사항
i,40 장; 26 cm
학위논문주기
학위논문(석사)-- 東亞大學校 敎育大學院: 數學敎育專攻, 1989. 6
주기사항
영문초록 : Let (E, Ⅱ) be a real Banach space and let C be a closed convex subset of E. A mapping T: C→C is called nonexpansive on C, or T∈Cont(C) if |Tx - Ty|□|x - y| ∀x, y∈C The purpose of this study is to study the asymptotic behavior of iterates T^(n)x in Banach spaces. In charter 3, in a real Hilbert space H, we study that □ tends to a limit y as n→∞ , and that R(I-T)^- has the minimum property. In chapter 4, we deal with the weak convergence of the sequence T^(n)x and the Cesaro mean S_(n)x of the sequence T^(n)x as n→∞ in H. we also study the some results concerning the strong convergence of S_(n)x in H. Finally, in chapter 5, we investigate in a smooth and uniformly convex Banach space E, the conditions that are equivalent to the existance of w-lim _(n→∞) T^(n)x.
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