STRONG CONVERGENCE THEOREMS BY A HYBRID STEEPEST DESCENT METHOD FOR COUNTABLE NONEXPANSIVE MAPPINGS IN HILBERT SPACES

• IEMOTO SHIGERU

  Tokyo Institute of Technology

• TAKAHASHI WATARU

  Tokyo Institute of Technology

Abstract

In this paper, we introduce a new iterative procedure for finding a solution of the variational inequality problem over the intersection of fixed point sets of infinite nonexpansive mappings in a Hilbert space and then discuss the strong convergence of the iterative procedure.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 69 (2), 227-240, 2009

  International Society for Mathematical Sciences

Keywords

• variational inequality
• hybrid steepest descent method
• Hilbert space
• strongly monotone
• Lipschitzian
• nonexpansive mapping

Details

• CRID: 1390283659856960000
• NII Article ID: 10025095071
• NII Book ID: AA1150654X
• DOI: 10.32219/isms.69.2_227
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed