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Approximation Methods for Nonlinear Operator-Equations of the m-Accretive Type

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


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
472 KB
Volume
189
Category
Article
ISSN
0022-247X

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Approximation Methods for Nonlinearm-Acc
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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 progres

Stable Iteration Procedures for Strong P
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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

Ishikawa and Mann Iteration Methods with
✍ M.O. Osilike πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 212 KB

114᎐125 converge strongly to the solution of the equation Tx s f. Furthermore, if E is a uniformly smooth Banach space and T : E Βͺ E is demicontinuous and strongly accretive, it is also proved that both the Ishikawa and the Mann iteration methods with errors converge strongly to the solution of the

Iterative Solution of Nonlinear Equation
✍ M.O. Osilike πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 159 KB

ARTICLE NO. 0203 converges strongly to the unique solution of the equation Tx s f. A related result deals with the approximation of fixed points of -hemicontractive operatorsᎏa class of operators which is much more general than the important class of strongly pseudocontractive operators.

Error Bounds for Approximation Solutions
✍ Lu-Chuan Zeng πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 175 KB

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