<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We investigate some properties of lattice group-valued positive, monotone and k-subadditive set functions, and in particular, we give some comparisons between regularity and continuity from above. Moreover, we prove different kinds of limit theorems with respect to filter convergence. Furthermore, some open problems are posed.</p></abstract>

We investigate some properties of lattice group-valued positive, monotone and k-subadditive set functions, and in particular, we give some comparisons between regularity and continuity from above. Moreover, we prove different kinds of limit theorems with respect to filter convergence. Furthermore, some open problems are posed.

Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting

Dipartimento di Matematica e Informatica University of Perugia via Vanvitelli 1 I–06123-Perugia ITALY

Department of Mathematics University of Athens Panepistimiopolis GR–15784-Athens GREECE

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

We investigate some properties of lattice group-valued positive, monotone and k-subadditive set functions, and in particular, we give some comparisons between...

Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting

Published Online: Aug 04, 2016

Page range: 1 - 21

Received: Oct 20, 2014

DOI: https://doi.org/10.1515/tmmp-2016-0001

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.