The convergence of mean value iteration for a family of maps
Billy E. Rhoades, Ştefan M. Şoltuz · International Journal of Mathematics and Mathematical Sciences · 2005
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.