On the KR and WKR points of Orlicz.
In this paper, we obtain criteria for KR and WKR points in Orlicz function spaces equipped with the Luxemburg norm.
Some geometric properties related to fixed point theory in Cesàro spaces.
Errata to the paper "Banach-Saks property in some Banach sequence spaces" (Ann. Polon. Math. 65 (1997), 193-202)
Banach-Saks property in some Banach sequence spaces
It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.
On K-nearly uniform convexity in Orlicz spaces.
Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)
In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated with SO(4) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi-integrable and tri-integrable couplings are constructed by the variational identities....
On some local geometry of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
Criteria for strong U-points, compactly locally uniformly rotund points, weakly compactly locally uniformly rotund points and locally uniformly rotund points in Musielak-Orlicz sequence spaces equipped with the Luxemburg norm are given.
Weak orthogonality and weak property () in some Banach sequence spaces
It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property () in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.
The fixed point property in Musielak-Orlicz sequence spaces
In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an -point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the property, the uniform property and to be nearly uniformly convex. We show that a Musielak-Orlicz sequence space equipped with the Orlicz norm has the fixed point property if and only if it is reflexive.
On some geometric properties of certain Köthe sequence spaces
It is proved that if a Kothe sequence space is monotone complete and has the weakly convergent sequence coefficient WCS, then is order continuous. It is shown that a weakly sequentially complete Kothe sequence space is compactly locally uniformly rotund if and only if the norm in is equi-absolutely continuous. The dual of the product space of a sequence of Banach spaces , which is built by using an Orlicz function satisfying the -condition, is computed isometrically (i.e. the exact...
Erratum and addendum to the paper "Compactness and essential norms of composition operators on Orlicz-Lorentz spaces" [Applied Mathematics Letters 25 (2012) 1778--1783]
A note on the modulus of -convexity and modulus of -convexity.
A coefficient related to some geometric properties of a Banach space.
Some modulus and normal structure in Banach space.
Some sufficient conditions for fixed points of multivalued nonexpansive mappings.
On some geometric constants and the fixed point property for multivalued nonexpansive mappings.
Extreme points and rotundity in Musielak-Orlicz-Bochner function spaces endowed with Orlicz norm.
Nonsquareness and locally uniform nonsquareness in Orlicz-Bochner function spaces endowed with Luxemburg norm.
Nonsquareness in Musielak-Orlicz-Bochner function spaces.
Some geometric properties in Orlicz sequence spaces equipped with Orlicz norm.
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