Let E be a real reflexive Banach space which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of E has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a common zero of a countably infinite family of α-inverse strongly accretive mappings are proved. Related results deal with strong convergence of theorems to a common fixed point of a countably infinite family of strictly pseudocontractive mappings.
|Number of pages||8|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - Jul 1 2009|
All Science Journal Classification (ASJC) codes
- Applied Mathematics