On strong convergence of multivalued maps

Year, pages: 2003, 199 - 209

The main results presented in this paper concern multivalued maps. We consider a convergence of nets of multivalued maps which is formulated in terms of open covers and we compare it with pointwise, uniform and continuous convergence. Furthermore we will show that the strong convergence keeps sets of points of lower and upper semicontinuity. The sufficient conditions are given under which the strong convergence implies the Kuratowski convergence of graphs.

Domnik, I. 2003. On strong convergence of multivalued maps. In Mathematica Slovaca, vol. 53, no.2, pp. 199-209. 0139-9918.

Domnik, I. (2003). On strong convergence of multivalued maps. Mathematica Slovaca, 53(2), 199-209. 0139-9918.