Approximation of fixed points of stronglypseudocontractive mappings in uniformly smooth Banach spaces

Zhiqun Xue · International Journal of Mathematics and Mathematical Sciences · 2006

Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1 + T2: K → K is a continuous and strongly pseudocontractive mapping, where T1 : K → K is Lipschitz and T2 : K → K has the bounded range mapping. Then the Ishikawa iterative sequence converges strongly to the unique fixed point of T1 + T2.

Read the paper · More papers on PaperTik