Approximation Methods for Nonlinearm-Accretive Operator Equations
β Scribed by M.O. Osilike
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 136 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Lipschitzian m-accreti¨e operator, where the domain of T, D T , is a proper subset of E. For any f g E, approximation methods are constructed which converge strongly to the solution of the equation x q Tx s f. Explicit error estimates are given and convergence is at least as fast a geometric progression.
π SIMILAR VOLUMES
Let X be a uniformly smooth Banach space and T : X Βͺ X a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Tx s f generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex
We apply the method of operator splitting on the generalized Korteweg-de Vries (KdV) equation u t + f (u) x + Ξ΅u xxx = 0, by solving the nonlinear conservation law u t + f (u) x = 0 and the linear dispersive equation u t + Ξ΅u xxx = 0 sequentially. We prove that if the approximation obtained by opera
It is proved that certain Mann and Ishikawa iteration procedures are stable with respect to strongly pseudo-contracti¨e mappings in real Banach spaces which are q-uniformly smooth, 1q -ϱ. A related result deals with stable iteration procedures for solutions of nonlinear equations of the accreti¨e ty