Locally bounded spaces of vector functions and nonlinear operators therein.

Fetisov, V.G.; Bezuglova, N.P.

Displaying similar documents to “Locally bounded spaces of vector functions and nonlinear operators therein.”

On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions

Mohamed Morsli (1997)

Commentationes Mathematicae Universitatis Carolinae

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We investigate some convergence questions in the class of Besicovitch-Orlicz spaces of vector valued functions. Next, the existence problem of the projection operator on closed convex subsets is considered in the class of almost periodic functions. This problem was considered in [5], in the case of an Orlicz space. The approximation property obtained in both cases are of the same kind. However, the arguments which are used in the proofs are different.

On some equivalent geometric properties in the Besicovitch-Orlicz space of almost periodic functions with Luxemburg norm

Fazia Bedouhene, Mohamed Morsli, Mannal Smaali (2010)

Commentationes Mathematicae Universitatis Carolinae

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The paper is concerned with the characterization and comparison of some local geometric properties of the Besicovitch-Orlicz space of almost periodic functions. Namely, it is shown that local uniform convexity, $H$ -property and strict convexity are all equivalent. In our approach, we first prove some metric type properties for the modular function associated to our space. These are then used to prove our main equivalence result.

On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm

Fazia Bedouhene, Amina Daoui, Hocine Kourat (2012)

Commentationes Mathematicae Universitatis Carolinae

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In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost periodic functions $({\tilde{B}}^{ϕ} a . p .)$ endowed with the Luxemburg norm.

Notes on approximation in the Musielak-Orlicz spaces of vector multifunctions

Andrzej Kasperski (1994)

Commentationes Mathematicae Universitatis Carolinae

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We introduce the spaces $M_{Y, ϕ}^{1}$ , $M_{Y, ϕ}^{o, n}$ , ${\tilde{M}}_{Y, ϕ}^{o}$ and $M_{Y, 𝐝, ϕ}^{o}$ of multifunctions. We prove that the spaces $M_{Y, ϕ}^{1}$ and $M_{Y, 𝐝, ϕ}^{o}$ are complete. Also, we get some convergence theorems.

Fixed points of multivalued maps in modular function spaces.

Kutbi, Marwan A., Latif, Abdul (2009)

Fixed Point Theory and Applications [electronic only]

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Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions

Mohamed Morsli, Mannal Smaali (2007)

Commentationes Mathematicae Universitatis Carolinae

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We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg norm.