Abstract
In this paper, we develop a general approach to set-valued semi-continuous selections which is based on order-like arguments rather than on classical approximations. The approach works nice in a number of situations demonstrating the genesis of such selection properties of set-valued mappings. In particular, it allows to generalize several known results, also to get some new results about sections of set-valued mappings.
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Gutev, V. Completeness, Sections and Selections. Set-Valued Anal 15, 275–295 (2007). https://doi.org/10.1007/s11228-007-0041-0
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DOI: https://doi.org/10.1007/s11228-007-0041-0