Convergence of mutivalued martingale : Application to multivalued uniform amarts

Autores

  • El-Moustafid Mohamed Faculty of Sciences and Technology of Fes, University Sidi Mohamed Ben Abdellah
  • Mohammed El Allali Faculty of Sciences and Technology of Fez, University Sidi Mohamed Ben Abdellah
  • Fatima Ezzaki Faculty of Sciences and Technology of Fez, University Sidi Mohamed Ben Abdellah
  • Khalid Tahri

DOI:

https://doi.org/10.5269/bspm.81711

Resumo

In this work, we prove a convergence theorem for bounded martingales taking values in a Banach space Y, without requiring Y to have the Radon Nikodym Property. We then extend this result to martingales with values in ccb(Y) (the set of nonempty, convex, closed, and bounded subsets of Y )under several topologies. As applications, we show the convergence of multivalued uniform asymptotic martingales with values in ccb(Y).

Biografia do Autor

  • Mohammed El Allali , Faculty of Sciences and Technology of Fez, University Sidi Mohamed Ben Abdellah

    PHD graduate at Faculty of Sciences and Technology of Fez, University Sidi Mohamed Ben Abdellah and author of numerous articles.

  • Fatima Ezzaki, Faculty of Sciences and Technology of Fez, University Sidi Mohamed Ben Abdellah

    Professor of Mathematics at the Faculty of Sciences and Technology of Fez, University Sidi Mohamed Ben Abdellah and author of numerous articles in probability and statistics.

  • Khalid Tahri

    Professor of Mathematics at the Faculty of Science of Oujda, University Mohammed Premier and author of numerous articles.

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Publicado

2026-04-30

Edição

v. 44 n. 16 (2026): Recent Advances in Analysis and Applied Mathematics

Seção

Conf. Issue: Recent Advancements in Analysis and Applied Mathematics

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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