APPROXIMATION OF A COMMON FIXED POINT OF A FINITE FAMILY OF NONEXPANSIVE MAPPINGS WITH NONSUMMABLE ERRORS IN A HILBERT SPACE

作者：Kimura Yasunori^*

来源：Journal of Nonlinear and Convex Analysis, 2014, 15(2): 429-436.

• Common fixed point
• nonexpansive
• shrinking projection method
• iterative scheme
• metric projection
• error term

We study an iterative scheme for a finite family of nonexpansive mappings generated by the shrinking projection method with errors. We consider an error for obtaining the value of metric projections and show that the sequence still has a nice property for approximating a common fixed point of the mappings. In the proposed iterative scheme, we do not need to suppose any summability condition for the error terms.

• 出版日期2014