Law of large numbers and Ergodic Theorem for convex weak star compact valued Gelfand-integrable mappings [chapter]

C. Castaing, P. Raynaud de Fitte
2013 Advances in Mathematical Economics  
Mathematical Subject Classification (2010) : 28B20, 60F15, 60B12. Abstract. We prove several results in the integration of convex weak star (resp. norm compact) valued random sets with application to weak star Kuratowski convergence in the law of large numbers for convex norm compact valued Gelfand-integrable mappings in the dual of a separable Banach space. We also establish several weak star Kuratowski convergence in the law of large numbers and ergodic theorem involving the subdifferential
more » ... e subdifferential operators of Lipschitzean functions defined on a separable Banach space, and also provide an application to a closure type result arisen in evolution inclusions.
doi:10.1007/978-4-431-54324-4_1 fatcat:ebwndhxryncf7jdgdh6p5d6yci