Weakly lower semicontinuous map; Continuous selection; Paracompact space; Perfectly normal space
Issue Date
2019-09
Publisher
Eudoxus Press
Citation
Journal of Computational Analysis and Applications, v. 27, no. 3, Page. 447-452
Abstract
This paper deals with the existence of continuous selection of a multivalued mapping in product space. Many authors provided existence of continuous map for lower semicontinuous. We provide continuous selection for weakly lower semicontinuous. Rhybinski [9] proved the existence for contraction type mapping. We prove the existence for some general type of mapping different from contraction mapping.