Let E be a real q-uniformly smooth Banach space. Suppose T is a strongly pseudocontractive map with open domain D(T) in E. Suppose further that T has a fixed point in D ( T ) . Under various continuity assumptions on T it is proved that each of the Mann iteration process or the Ishikawa iteration me
A modified method of iteration of the picard type in the solution of differential equations
β Scribed by Gwoh-Fan Djang
- Publisher
- Elsevier Science
- Year
- 1948
- Tongue
- English
- Weight
- 202 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0016-0032
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π SIMILAR VOLUMES
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 operatorsαa class of operators which is much more general than the important class of strongly pseudocontractive operators.
The objective of this paper is to present an algorithm from which a rapidly convergent solution is obtained for Volterra integral equations of Hammerstein type. Such equations are often encountered when describing the response of viscoelastic materials where the time dependency of the material prope