Results regarding the existence of random fixed points of a nonexpansive random operator defined on an unbounded subset of a Banach space are proved.
A random fixed point iteration for three random operators on uniformly convex Banach spaces
β Scribed by Binayak S. Choudhury
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 305 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1573-8175
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This paper proves that, under suitable conditions, the multivalued Ishikawa iterative sequence with errors strongly converges to the unique fixed point of T. The related result deals with the strong convergence of the Ishikawa iterative sequence with errors to the unique solution of the equation f E
Let E be a uniformly convex real Banach space with a uniformly GΓ’teaux differentiable norm. Let K be a closed, convex and nonempty subset of E. Let {T i } β i=1 be a family of nonexpansive self-mappings of K . For arbitrary fixed Ξ΄ β (0, 1), define a family of nonexpansive maps , where {Ξ± n } and {