Displaying similar documents to “Coupled fixed points of mixed monotone operators on probabilistic Banach spaces”

K-metric and K-normed linear spaces: survey.

P. P. Zabrejko (1997)

Collectanea Mathematica

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We give a short survey on some fixed point theorems which are generalizations of the classical Banach-Caccioppoli principle of contractive mappings. All these results are gathered in three theorems about existence and uniqueness of fixed points for operators which act in K-metric or K-normed linear spaces and, in particular, in local convex spaces and scales of Banach spaces. Three fixed point theorems presented in this article cover numerous applications in numerical methods, theory...

On maximal monotone operators with relatively compact range

Dariusz Zagrodny (2010)

Czechoslovak Mathematical Journal

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It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator T can be approximated by a sequence of maximal monotone operators of type NI, which converge to T in a reasonable sense (in the sense of Kuratowski-Painleve convergence).

A Cantor set in the plane that is not σ-monotone

Aleš Nekvinda, Ondřej Zindulka (2011)

Fundamenta Mathematicae

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A metric space (X,d) is monotone if there is a linear order < on X and a constant c such that d(x,y) ≤ cd(x,z) for all x < y < z in X, and σ-monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not σ-monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not σ-monotone. This answers a question raised by the second author.

Abstracts of CSc. theses in mathematics

(1992)

Commentationes Mathematicae Universitatis Carolinae

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Bajáková, Pavla: Surfaces with constant curvatures in 𝒮 4 ( 1 ) ⊂ S 5 . Pech, Pavel: The inequalities of space curves. Repický, Miroslav: Cardinal characteristics of the real line and boolean-valued models. Šiňajová, Edita: Representations of graphs in Euclidean space. Frolíková, Ivana: Stochastic approximation with delayed observations. Pyrih, Pavel: Fine topology and unique extension in complex plane. Růžička, Michael: Mathematical and physical theory of multipolar elasticity. Veselý, Libor: Topological...