Strong convergence theorems for a common zero of a countably infinite family of α-inverse strongly accretive mappings
نصير شهزاد محمد ايوب · Nonlinear Analysis · 2009
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.