On modified Noor iterations for nonlinear equations in Banach spaces

We introduce a new class of nonlinear mappings, the class of asymp- totically �-hemicontractive mappings in the intermediate sense and approximate the unique common �xed point of a family of three of these mappings in Banach spaces. Our results improve and generalize the results of Xue and Fan [Zhiqun Xue, Ruiqin Fan, Some comments on Noor's iterations in Banach spaces, Applied Mathematics and Computation 206 (2008) 12-15] which in turn is a correction of the results of Ra�q [Arif Ra�q, Modified Noor iterations for nonlinear equations in Banach spaces, Applied Mathematics and Computation 182 (2006) 589-59