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Approximation of a Solution for aK-Positive Definite Operator Equation

✍ Scribed by C.E. Chidume; M.O. Osilike

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
148 KB
Volume
210
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let E be separable q-uniformly smooth Banach space, q ) 1, and let A: Ε½ . D A : E Βͺ E be a K-positive definite operator. Let f g E be arbitrary. An iterative method is constructed which converges strongly to the unique solution of the equation Ax s f. Our result resolves two questions raised by C. E. Chidume Ε½ .

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