IJPAM: Volume 65, No. 2 (2010)
FOR FIXED POINTS
50S. Central Campus Dr.
School of Computing
University of Utah
Salt Lake City, UT 84112, USA
Abstract.We present a constructive lemma on location of fixed points that we believe will make possible the design of nearly optimal cost algorithms for computing -residual approximations to the fixed points of -dimensional nonexpansive mappings with respect to the infinity norm. This lemma is an extension of a two-dimensional result that we presented in [#!key-1!#].
Received: May 12, 2010
AMS Subject Classification: 65H10, 37C25
Key Words and Phrases: fixed points, algorithms
Source: International Journal of Pure and Applied Mathematics