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Stochastic Analysis and Applications Volume 3, 1985 - Issue 4
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Original Articles

A convergence theorem for convex set valued supermartingalesFootnote∗

A. De Korvin Department of Computer and Information Science, Indiana University-Purdue University at Indianapolis, Indianapolis, IN, 46223
&
R. Kleyle Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, Indianapolis, IN, 46223
Pages 433-445 | Published online: 12 Apr 2007

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Leszek Gasiński & Nikolaos S. Papageorgiou. (2019) Convergence theorems for adapted sequences of random sets. Stochastic Analysis and Applications 37:2, pages 189-218.
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NikolaosS. Papageorgiou. (1989) Convergence and representation theorems for set valued random processes. Stochastic Analysis and Applications 7:2, pages 187-210.
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Nikolaos S. Papageorgiou. (1987) A convergence theorem for set valued supermartingales with values in a separable banach space . Stochastic Analysis and Applications 5:4, pages 405-422.
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Ilya MolchanovIlya Molchanov. 2017. Theory of Random Sets. Theory of Random Sets 451 552 .
Ilya MolchanovIlya Molchanov. 2017. Theory of Random Sets. Theory of Random Sets 379 449 .
Ilya MolchanovIlya Molchanov. 2017. Theory of Random Sets. Theory of Random Sets 317 378 .
Ilya MolchanovIlya Molchanov. 2017. Theory of Random Sets. Theory of Random Sets 225 316 .
Ilya MolchanovIlya Molchanov. 2017. Theory of Random Sets. Theory of Random Sets 1 223 .
Anca Croitoru & Nikos Mastorakis. 2015. Computational Problems in Science and Engineering. Computational Problems in Science and Engineering 1 17 .
Anca Croitoru. (2014) Convergences and topology via sequences of multifunctions. Information Sciences 282, pages 250-260.
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Li Guan & Shoumei Li. 2011. Nonlinear Mathematics for Uncertainty and its Applications. Nonlinear Mathematics for Uncertainty and its Applications 135 142 .
Shoumei Li, Jungang Li & Xiaohua Li. (2010) Stochastic integral with respect to set-valued square integrable martingales. Journal of Mathematical Analysis and Applications 370:2, pages 659-671.
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Shoumei Li. 2010. Combining Soft Computing and Statistical Methods in Data Analysis. Combining Soft Computing and Statistical Methods in Data Analysis 411 417 .
Jungang Li, Shoumei Li & Yanping Xue. (2009) The space of fuzzy set-valued square integrable martingales. The space of fuzzy set-valued square integrable martingales.
Shoumei Li & Li Guan. (2007) Decomposition and representation theorem of set-valued amarts. International Journal of Approximate Reasoning 46:1, pages 35-46.
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Shoumei Li & Li Guan. 2006. Soft Methods for Integrated Uncertainty Modelling. Soft Methods for Integrated Uncertainty Modelling 137 143 .
Wang Rongming. (2001) Essential (Convex) Closure of a Family of Random Sets and Its Applications. Journal of Mathematical Analysis and Applications 262:2, pages 667-687.
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Evgenios P. Avgerinos & Nikolas S. Papageorgiou. (1999) Almost Sure Convergence and Decomposition of Multivalued Random Processes. Rocky Mountain Journal of Mathematics 29:2.
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Nikolaos S. Papageorgiou. (1996) Convergence theorems for set-valued amarts and uniform amartsТеоремы сходимости д ля множествеынознач ных амартов и равномерны х амартов. Analysis Mathematica 22:2, pages 147-161.
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Nikolaos S. Papageorgiou. (1995) On the conditional expectation and convergence properties of random sets. Transactions of the American Mathematical Society 347:7, pages 2495-2515.
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Zhen Peng Wang & Xing Hong Xue. (1994) On convergence and closedness of multivalued martingales. Transactions of the American Mathematical Society 341:2, pages 807-827.
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Nikolaos S. Papageorgiou. (1992) Convergence theorems for set-valued martingales and semimartingalesТеоремы сходимости д ля многозначных март ингалов и семимартингалов. Analysis Mathematica 18:4, pages 283-293.
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Nikolaos S Papageorgiou. (1990) Convergence and representation theorems for set valued random processes. Journal of Mathematical Analysis and Applications 150:1, pages 129-145.
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Nikolaos S. Papageorgiou. (1990) Weak convergence and weak compactness for multifunctions with values in a separable Banach space. Proceedings of the American Mathematical Society 109:3, pages 677-687.
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