컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0472 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Control Theory / Optimization (SS-13) |
| 영문제목 (Title(Eng.)) |
Strong convergence of iterative algorithms for pseudocontractive mappings in Banach spaces |
| 저자(Author(s)) |
Jong Soo Jung 1 Dong-A University1 |
| 초록본문(Abstract) | In this talk, we consider an iterative algorithm for a continuous pseudocontractive mapping $T$ and a continuous bounded strongly pseudocontractive mapping $A$ in a reflexive Banach space having a uniformly G\^ateaux differentiable norm. Under suitable conditions on control parameters, we establish strong convergence of the sequence generated by the proposed iterative algorithm to a fixed point of the mapping $T$, which solves a ceratin variational inequality related to $A$. |
| 분류기호 (MSC number(s)) |
47H09, 47H10, 47J20 |
| 키워드(Keyword(s)) | iterative algorithm, pseudocontractive mapping, strongly pseudocontractive mapping, fixed points, uniformly G\^ateaux differentiable norm, uniformly smooth Banach space, reflexive and strictly convex |
| 강연 형태 (Language of Session (Talk)) |
English |