WEAK AND STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN A BANACH SPACE SATISFYING OPIAL’S CONDITION

• ATSUSHIBA SACHIKO

• TAKAHASHI WATARU

抄録

In this paper, we study the weak convergence of Mann’s type iteration procedure and the existence of nonexpansive retractions for commutative semigroups in Banach spaces which satisfy Opial’s condition. Further, we introduce an implicit iteration procedure for nonexpansive semigroups and then prove a strong convergence theorem for the nonexpansive semigroups in general Banach spaces.

収録刊行物

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 65 (2), 147-160, 2007

  一般社団法人 国際数理科学協会

キーワード

• Fixed point
• nonexpansive mapping
• nonexpansive semigroup
• iteration
• weak convergence
• strong convergence

詳細情報

• CRID: 1390283659856948736
• NII論文ID: 10019758872
• NII書誌ID: AA1150654X
• DOI: 10.32219/isms.65.2_147
• ISSN: 13460447
• 本文言語コード: en
• データソース種別:
  • JaLC
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可