A Class of New Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Maps
Xiongrui Wang · Journal of Jilin University(Science Edition) · 2008
In view of the existence theory for fixed point of a continuous pseudocontractive mapping,a new composite implicit iterative process with errors for a finite family of strictly pseudocontractive mappings is introduced reasonably in a real smooth Banach space.We have proved by means of the Petryshyn's inequality that the iterative process converges strongly to a fixed point of the family of strictly pseudocontractive mappings under some suitable conditions.