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Existence of continuous selection for some special kind of multivalued mappings

Authors
Poonguzali, GMarudai, MAnastassiou, GAPark, C
Issue Date
Sep-2019
Publisher
Kluwer Academic Publishers
Keywords
weakly lower semicontinuous map; continuous selection; paracompact space; perfectly normal space
Citation
Journal of Computational Analysis and Applications, v.27, no.3, pp 447 - 452
Pages
6
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
27
Number
3
Start Page
447
End Page
452
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147172
ISSN
1521-1398
1572-9206
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.
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