scholarly journals On weakly Gibson Fσ-measurable mappings

2013 ◽  
Vol 133 (2) ◽  
pp. 211-219
Author(s):  
Olena Karlova ◽  
Volodymyr Mykhaylyuk
Keyword(s):  
Measurable Mappings

scholarly journals Equivalence and stability of random fixed point iterative procedures

2006 ◽  
Vol 2006 ◽  
pp. 1-19 ◽  
Author(s):  
Ismat Beg ◽  
Mujahid Abbas
Keyword(s):  
Fixed Point ◽  
Hilbert Spaces ◽  
Metric Spaces ◽  
Necessary Conditions ◽  
Random Operator ◽  
Random Operators ◽  
Random Fixed Point ◽  
The Stability ◽  
Iterative Procedures ◽  
Measurable Mappings

We generate a sequence of measurable mappings iteratively and study necessary conditions for its strong convergence to a random fixed point of strongly pseudocontractive random operator. We establish the weak convergence of an implicit random iterative procedure to common random fixed point of a finite family of nonexpansive random operators in Hilbert spaces. We prove the equivalence between the convergence of random Ishikawa and random Mann iterative schemes for contraction random operator and strongly pseudocontractive random operator. We also examine the stability of random fixed point iterative procedures for the random operators satisfying certain contractive conditions in the context of metric spaces.

scholarly journals On Iterated Limits of Measurable Mappings

1965 ◽  
Vol 8 (1) ◽  
pp. 83-91
Author(s):  
Elias Zakon
Keyword(s):  
Metric Space ◽  
Present Note ◽  
Separable Metric Space ◽  
Measurable Mappings

Egoroff' s theorem [1] was extended by Kvačko [3] to functions with values in a separable metric space; and, as is easily seen, this result applies also to separable pseudometric spaces. In the present note we shall use this theorem to obtain some propositions on iterated limits, which, despite their simplicity, seem not yet to be known in the proposed generality.

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