Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 41, 1991 - Issue 1-4
Submit an article Journal homepage
12
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Pointwise ergodic theorems for multivalued functions

E. Castrandas NATIONAL TECHNICAL UNIVERSITY OF ATHENS GREECE
Pages 53-87 | Received 02 Apr 1990, Published online: 02 May 2007

References

  • Z , ARTSTEIN and S , HART . 1981 . Law of large numbers for random sets and allocation processes . Math. Oper. Res , 6 : 485 – 492 .
  • Z , ARTSTEIN and R.A , VITALE . 1975 . A strong law of large numbers for random compact sets . Ann. Prob , 3 : 879 – 882 .
  • R.J , AUMANN . 1965 . Integrals of set-valued functions . J. Math. Anal. Appl , 12 : 1 – 12 .
  • C , CASTAING . 1967 . Sur les multiapplications measurables . Rev. Fr. Inf. Recher. Oper , 1 : 91 – 126 .
  • C , CASTAING and M , VALADIER . 1977 . Convex analysis and measurable multifunctions , Lecture Notes in Math .
  • N , CRESSIE . 1978 . A strong limit theorem for random sets . Suppl. Adv. Appl. Prob , 10 : 36 – 46 .
  • G , DEBREU . 1966 . Integration of correspondences . Berkeley Symp. on Mat. Stat. Prob , 2 : 351 – 372 .
  • E , GINE , M.G , HAHN and J , ZINN . 1983 . Limit theorems for random sets. An application of probability in Banach space results , Berlin : Springer Verlag .
  • F , HIAI . 1985 . Convergence of conditional expectations and strong laws of large numbers for multivalued random variables . Amer. Math. Soc , 291 : 613 – 627 .
  • F , HIAI and H , UMEGAKI . 1977 . Integrals, conditional expectations and martingales of multivalued functions . J. Multiv. Anal , 7 : 149 – 182 .
  • C.J , HIMMELBERG . 1975 . Measurable relations . Fund. Math , 87 : 53 – 72 .
  • C.J , HIMMELBERG and F.S , VAN-VLECK . 1969 . Some selection theorems for measurable functions . Can. J. Math , 21 : 394 – 399 .
  • M.Q , JACOBS . 1968 . Measurable multivalued mappings and Lusin's theorem . Trans. Am.Math. Soc , 134 : 471 – 481 .
  • D.G , KENDALL . 1974 . Foundations of a theory of random sets , New York : Stochastic Geometry .
  • K , KURATOWSKI . 1966 . Topology , New York : Academic Press .
  • G , MATHERON . 1975 . Random Sets and Integral Geometry , New York : Wiley .
  • U , MOSCO . 1969 . Convergence of convex sets and of solutions of variational inequalities . Adv. in Math , 3 : 510 – 585 .
  • M , PURI and D , RALESCU . 1983 . Strong law of large numbers for Banach space valued random sets . Ann. Prob , 11 : 222 – 224 .
  • H , RADSTROM . 1952 . An embedding theorem for spaces of convex sets . Proc. Am. M.S , 3 : 165 – 169 .
  • H.E , ROBBINS . 1944 . On the measure of a random set . Ann. Math. Stat , 15 : 70 – 74 .
  • H.E , ROBBINS . 1945 . On the measure of a random set II . Ann. Math. Stat , 16 : 342 – 347 .
  • R.T , ROCKAFELLAR . 1969 . Measurable dependence of convex sets and functions on parameters . J. Math. Anal. Appl , 28 : 4 – 25 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.