Iterative approximation of fixed point for Φ‐hemicontractive mapping without Lipschitz assumption
Zhiqun Xue · International Journal of Mathematics and Mathematical Sciences · 2005
Let E be an arbitrary real Banach space and let K be a nonempty closed convex subset of E such that K + K ⊂ K. Assume that T : K → K is a uniformly continuous and Φ‐hemicontractive mapping. It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique fixed point of T.