The convergence of mean value iteration for a family of maps
B. E. Rhoades1and Ştefan M. Şoltuz2
Received03 Jan 2005
Revised06 Sept 2005
Abstract
We consider a mean value iteration for a family of functions, which corresponds to
the Mann iteration with limn→∞ αn≠0. We prove convergence results for this iteration when applied to strongly
pseudocontractive or strongly accretive maps.