On single-valuedness of set-valued maps satisfying linear inclusions.
Nikodem, Kazimierz, Popa, Dorian (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Displaying similar documents to “A fixed point theorem for a class of multi-valued continuously differentiable maps”
On single-valuedness of set-valued maps satisfying linear inclusions.
Lifting vector-valued maps
Nguyen Van Khue (1985)
Colloquium Mathematicae
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Fixed points for generalized multi-valued contractions
Lj. B. Ćirić (1972)
Matematički Vesnik
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Continuity of the superposition of set-valued functions.
Merentes, N., Nikodem, K., Rivas, S. (1997)
Journal of Applied Analysis
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On the extension and generation of set-valued mappings of bounded variation
V. V. Chistyakov, A. Rychlewicz (2002)
Studia Mathematica
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We study set-valued mappings of bounded variation of one real variable. First we prove the existence of an extension of a metric space valued mapping from a subset of the reals to the whole set of reals with preservation of properties of the initial mapping: total variation, Lipschitz constant or absolute continuity. Then we show that a set-valued mapping of bounded variation defined on an arbitrary subset of the reals admits a regular selection of bounded variation. We introduce a notion...
The multi-morphisms and their properties and applications
Mirosław Ślosarski (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper a new class of multi-valued mappings (multi-morphisms) is defined as a version of a strongly admissible mapping, and its properties and applications are presented.
Multivalued contraction with parameter
L. Rybiński (1985)
Annales Polonici Mathematici
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On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results
Marwan Amin Kutbi, Wutiphol Sintunavarat (2016)
Open Mathematics
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The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive...
Comments on the paper by Gordji and Baghani entitled “A generalization of Nadler's fixed point theorem".
Rhoades, B.E. (2010)
The Journal of Nonlinear Sciences and its Applications
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A Remark on Set-Valued Mappings that Satisfy the Leray-Sckauder Condition II
Simeon Reich (1979)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Si verificano due congetture dell'Autore.
A general coincidence theory for set-valued maps.
O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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A General Fixed Point Theorem For Implicit Cyclic Multi-Valued Contraction Mappings
Valeriu Popa (2015)
Annales Mathematicae Silesianae
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In this paper, a general fixed point theorem for cyclic multi-valued mappings satisfying an implicit relation from [19] different from implicit relations used in [13] and [23], generalizing some results from [22], [15], [13], [14], [16], [10] and from other papers, is proved.
On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces.
Benkafadar, N.M., Gel'man, B.D. (1996)
Abstract and Applied Analysis
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Fixed Points of n-Valued Multimaps of the Circle
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...