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- W2036012383 abstract "One of the most famous single-valuedness results for set-valued maps is due to Kenderov [Fund. Math., LXXXVIII (1975), pp. 61--69] and states that a monotone set-valued operator is single-valued at any point where it is lower semicontinuous. This has been extended in Christensen and Kenderov [Math. Scand., 54 (1984), pp. 70--78] to monotone maps satisfying a so-called $*$-property. Our aim in this work is twofold: first, to prove that the $*$-property assumption can be weakened, and second, to emphasize that these classical single-valuedness results for monotone operators can be obtained, in very simple way, as direct consequences of counterpart results proved for quasi-monotone operators in terms of single-directionality." @default.
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- W2036012383 date "2014-01-01" @default.
- W2036012383 modified "2023-09-25" @default.
- W2036012383 title "On Extensions of Kenderov's Single-Valuedness Result for Monotone Maps and Quasimonotone Maps" @default.
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- W2036012383 doi "https://doi.org/10.1137/120880215" @default.
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