∗APPROXIMATING COMMON FIXED POINTS OF NONEXPANSIVE SEMIGROUPS IN BANACH SPACES BY METRIC PROJECTIONS

• ATSUSHIBA SACHIKO

  Department of Mathematics and Physics, Interdisciplinary Sciences Course, Faculty of Education and Human Sciences, University of Yamanashi

• TAKAHASHI WATARU

  Department of Mathematical and Computing Sciences, Tokyo Institute of Technology

Abstract

In this paper, we prove a strong convergence theorem by the hybrid method for nonexpansive semigroups in Banach spaces. Using this theorem, we obtain some strong convergence theorems in Banach spaces.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 68 (3), 323-331, 2008

  International Society for Mathematical Sciences

Keywords

• Fixed point
• iteration
• nonexpansive mapping
• hybrid method
• nonexpansive semigroup
• strong convergence.

Details

• CRID: 1390565134833660032
• NII Article ID: 10025094512
• NII Book ID: AA1150654X
• DOI: 10.32219/isms.68.3_323
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed