A weakening of the Attouch-Wets topology on function spaces

Year, pages: 1993, 105 - 121

Recently a new hyperspace topology with good applications in minimization problems was introduced. This topology is called bounded proximal topology. We study properties of the bounded proximal topology and the upper Attouch–Wets topology applied on function spaces. These topologies exhibit a good behaviour on a continuous dual $X^*$ of a linear metrizable space $X$.

Holá, Ľ., Holý, D. 1993. A weakening of the Attouch-Wets topology on function spaces. In Tatra Mountains Mathematical Publications, vol. 2, no.1, pp. 105-121. 1210-3195.

Holá, Ľ., Holý, D. (1993). A weakening of the Attouch-Wets topology on function spaces. Tatra Mountains Mathematical Publications, 2(1), 105-121. 1210-3195.