Approximation of a Solution for a K-Positive Definite Operator Equation in Uniformly Smooth Separable Banach Spaces

Let E be a separable uniformly smooth Banach space and let A: D A.:EªE be a K-positive definite operator. Let fgE be arbitrary. A new iterative method is constructed which converges strongly to the unique solution of the equation Axsf. Our work extends some of the known results due to Chidume and Osilike, and Chidume and Aneke