Approximation of a Solution for a K-Positive Definite Operator Equation

Let E be separable q-uniformly smooth Banach space, q)1, and let A: D A.:EªE be a K-positive definite operator. Let fgE be arbitrary. An iterative method is constructed which converges strongly to the unique solution of the equation Axsf. Our result resolves two questions raised by C. E. Chidume and S. J. Aneke Appl. Anal. 50, 1993, 293..