Approximation of a solution for a K-positive definite operator equation

[摘要] Let E be separable q-uniformly smooth Banach space, q > 1, and let A: D(A) subset of or equal to E --> E be a K-positive definite operator. Let f is an element of E be arbitrary. An iterative method is constructed which converges strongly to the unique solution of the equation Ax = f. Our result resolves two questions raised by C. E. Chidume and S. J. Aneke (Appl. Anal. 50, 1993, 293). (C) 1997 Academic Press.

[发布日期] 1997-06-01