Continuity of the superposition of set-valued functions.
Merentes, N., Nikodem, K., Rivas, S. (1997)
Journal of Applied Analysis
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Merentes, N., Nikodem, K., Rivas, S. (1997)
Journal of Applied Analysis
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Lj. B. Ćirić (1972)
Matematički Vesnik
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Nikodem, Kazimierz, Popa, Dorian (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Nguyen Van Khue (1985)
Colloquium Mathematicae
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Mariusz Michta (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Set-valued semimartingales are introduced as an extension of the notion of single-valued semimartingales. For such multivalued processes their semimartingale selection properties are investigated.
Stanisław Łojasiewicz, jr. (1985)
Banach Center Publications
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Robert F. Brown (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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A multifunction ϕ: X ⊸ Y is n-valued if ϕ(x) is an unordered subset of n points of Y for each x ∈ X. The (continuous) n-valued multimaps ϕ: S¹ ⊸ S¹ are classified up to homotopy by an integer-valued degree. In the Nielsen fixed point theory of such multimaps, due to Schirmer, the Nielsen number N(ϕ) of an n-valued ϕ: S¹ ⊸ S¹ of degree d equals |n - d| and ϕ is homotopic to an n-valued power map that has exactly |n - d| fixed points. Thus the Wecken property, that Schirmer established...
Jürgen Appell, Nguyêñ Hôǹg Thái, Espedito De Pascale, Petr P. Zabreĭko
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CONTENTSIntroduction.......................................................................................................... 51. Multifunctions and selections............................................................................... 7 1. Multifunctions and selections.................................................................. 7 2. Continuous multifunctions and selections........................................... 9 3. Measurable multifunctions and selections...............................................
Joaquín Basilio Díaz, Rudolf Výborný (1965)
Czechoslovak Mathematical Journal
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Ioan A. Rus, Adrian Petruşel, Gabriela Petruşel (2007)
Banach Center Publications
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The purpose of this paper is to present several fixed point theorems for the so-called set-valued Y-contractions. Set-valued Y-contractions in ordered metric spaces, set-valued graphic contractions, set-valued contractions outside a bounded set and set-valued operators on a metric space with cyclic representations are considered.