Published November 1994 | Version v1
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Approximation of a solution for a K-positive definite operator equation

  • 1. International Centre for Theoretical Physics, Trieste (Italy)
  • 2. Nigeria Univ., Nsukka (Nigeria). Dept. of Mathematics

Description

Let E be a separable q-uniformly smooth Banach space, q > 1, and let A : D(A) is contained in-bar 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 in Chidume and Aneke (Applicable Analysis Vol. 50 (1993), p. 293). (author). 13 refs

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Additional details

Publishing Information

Imprint Pagination
8 p.
Report number
IC--94/370

INIS

Country of Publication
International Atomic Energy Agency (IAEA)
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
26038542
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BANACH SPACE; CONVERGENCE; DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL OPERATORS
Descriptors DEC
CALCULATION METHODS; EQUATIONS; MATHEMATICAL SPACE; SPACE