On some convexity properties of generalized Cesàro sequence spaces.
On matrix transformations concerning the Nakano vector-valued sequence space.
On the -dual of vector-valued sequence spaces of Maddox.
On -nearly uniform convex property in generalized Cesàro sequence spaces.
A new general iterative method for a finite family of nonexpansive mappings in Hilbert spaces.
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings.
Monotone hybrid projection algorithms for an infinitely countable family of Lipschitz generalized asymptotically quasi-nonexpansive mappings.
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems.
A new approximation method for common fixed points of a finite family of generalized asymptotically quasinonexpansive mappings in Banach spaces.
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces.
Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces.
Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions.
On uniform Kadec–Klee properties and rotundity in generalized Cesàro sequence spaces.
A new iterative method for common fixed points of a finite family of nonexpansive mappings.
Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings.
A note on “Common fixed point of multistep noor iteration with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings”.
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings.
On the -property of some Banach sequence spaces
In this paper we define a generalized Cesàro sequence space and consider it equipped with the Luxemburg norm under which it is a Banach space, and we show that the space posses property (H) and property (G), and it is rotund, where is a bounded sequence of positive real numbers with for all .
Strong convergence of generalized projection algorithms for nonlinear operators.
On the H-property and rotundity of Cesàro direct sums of Banach spaces
In this paper, we define the direct sum of Banach spaces X₁,X₂,..., and Xₙ and consider it equipped with the Cesàro p-norm when 1 ≤ p < ∞. We show that has the H-property if and only if each has the H-property, and has the Schur property if and only if each has the Schur property. Moreover, we also show that is rotund if and only if each is rotund.
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