Convergence of Inexact Iterates of Monotone Nonexpansive Mappings with Summable Errors

Abstract

In our 2006 paper with D. Butnariu, it was shown that the convergence of iterates of a nonexpansive self-mapping of a complete metric space is stable in the presence of summable computational errors. In the present paper, we establish such results for monotone nonexpansive mappings.

Keywords

• complete metric space
• fixed point
• inexact iterate
• monotone nonexpansive mapping