Limit theorems for weighted sums of random elements in separable Banach spaces
β Scribed by A Bozorgnia; M.Bhaskara Rao
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 290 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0047-259X
No coin nor oath required. For personal study only.
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The random variables (r.vs.) X , . i E S : = ( 1 , 2 ...I, to he dealt uith are measurable mappings from a probability space (9. 91, P ) into a measure space (B, %), R being a RANACH space with a countable hasis (e,),,,, and ' 3 the o-algebra of 13orel sets of B. The type of convergence to be mainly
Various random fixed point theorems for different classes of 1-set-contractive random operator are proved. The class of 1-set-contractive random operators includes condensing and nonexpansive random operators. It also includes semicontractive type random operators and locally almost nonexpansive ran