Abstract

An algorithmic framework based on either random (unrestricted) or quasi-cyclic products for finding a point in the intersection of the fixed point sets of a finite collection of quasi-nonexpansive mappings is considered and two convergence theorems are established.

Author information

Contact details are reproduced from the original publication and may be historical.

Arkady Aleyner

Dept. of Mathematics, The Technion - Israel Institute of Technology, 32000 Haifa, Israel

aaleyner@tx.technion.ac.il

Simeon Reich

Dept. of Mathematics, The Technion - Israel Institute of Technology, 32000 Haifa, Israel

sreich@tx.technion.ac.il

Keywords

  • Common fixed point
  • infinite product
  • quasi-nonexpansive mapping
  • relaxation method

Mathematics Subject Classification

47H09, 47H10, 49M20

Suggested citation

A. Aleyner, S. Reich. “Random Products of Quasi-Nonexpansive Mappings in Hilbert Space.” Journal of Convex Analysis 16 (2009), No. 3&4, 633–640.

Copyright Banach Press 2009