Fixed points for generalized multi-valued contractions
Lj. B. Ćirić (1972)
Matematički Vesnik
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Displaying similar documents to “Fixed point theorems for set-valued Y-contractions”
Fixed points for generalized multi-valued contractions
Multi-valued fixed point theorems by altering distance between the points.
Marzouki, B., Mbarki, A.B. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Fixed point and continuation results for contractions in metric and gauge spaces
M. Frigon (2007)
Banach Center Publications
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We present an overview of generalizations of Banach's fixed point theorem and continuation results for contractions, i.e., results establishing that the existence of a fixed point is preserved by suitable homotopies. We will consider single-valued and multi-valued contractions in metric and in gauge spaces.
Continuity of the superposition of set-valued functions.
Merentes, N., Nikodem, K., Rivas, S. (1997)
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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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Multi-valued contraction mappings in complete metric spaces
Kiyoshi Iseki (1975)
Rendiconti del Seminario Matematico della Università di Padova
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Multivalued contraction with parameter
L. Rybiński (1985)
Annales Polonici Mathematici
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An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions
Charles J. Himmelberg, F. S. Van Vleck (1976)
Mathematica Slovaca
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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.
Lifting vector-valued maps
Nguyen Van Khue (1985)
Colloquium Mathematicae
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Uniformly bounded Nemytskij operators generated by set-valued functions between generalized Hölder function spaces
Janusz Matkowski, Małgorzata Wróbel (2011)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We prove that the generator of any uniformly bounded set-valued Nemytskij operator acting between generalized Hölder function metric spaces, with nonempty compact and convex values is an affine function with respect to the function variable.
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...
Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces.
Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D., Agarwal, R.P. (2008)
Fixed Point Theory and Applications [electronic only]
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Continuous dependence on parameters of the fixed points set for some set-valued operators
Eduard Kirr, Adrian Petruel (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we extend the notion of I⁰-continuity and uniform I⁰-continuity from [2] to set-valued operators. Using these properties, we prove some results on continuous dependence of the fixed points set for families of contractive type set-valued operators.