Iterative solutions ofK-positive definite operator equations in real uniformly smooth Banach spaces
نویسندگان
چکیده
منابع مشابه
Iterative Solutions of K-positive Definite Operator Equations in Real Uniformly Smooth Banach Spaces
Let X be a real uniformly smooth Banach space and let T : D(T) ⊆ X → X be a K-positive definite operator. Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx = f , f ∈ X. The results presented in this paper generalize the corresponding results of Bai (1999), Chidume and Aneke (1993), and Chidume and Osilike ...
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We introduce and study a new class of nonlinear general A-monotone operator equations with multivalued operator. By using Alber’s inequalities, Nalder’s results, and the new proximal mapping technique, we construct some new perturbed iterative algorithms with mixed errors for solving the nonlinear general A-monotone operator equations and study the approximationsolvability of the nonlinear oper...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2001
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171201005919