Coepi-analysis of lower semicontinuity property of vector-valued mappings

A.V. Dovzhenko (Oles Honchar Dnipropetrovsk National University)
P.I. Kogut (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0003-1593-0510

Abstract


Topological properties of coepigraphs of vector-valued mappings are investigated. Lower semicontinuous regularization of such mappings and its variational representation are received with the help of coepigraphs.

Keywords


partially ordered space; cone; lower semicontinuous mapping; coepigraph; regularization

References


Nechai I.V. On solvability and regularization of non-scalar optimization problems in Banach spaces: Diss. for cand.phys.-math.sc., 2009. (in Ukrainian)

Krasnoselskii M.A. Positive solutions of operator equations, Groningen, P. Noordhoff Ltd., 1964. (in Russian)

Dovzhenko A.V., Kogut P.I., Manzo R. "Epi and Coepi-analysis of vector-valued mappings in Banach spaces", Rev. Comp. Matem. (in print)

Penot J.P., Thera M. "Semi-continuous mappings in general topology", Arch. Math., 1982; 38: pp. 158-166. doi:10.1007/BF01304771


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Copyright (c) 2010 A.V. Dovzhenko, P.I. Kogut

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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