On the convergence of an implicit iterative process for generalized asymptotically quasi-nonexpansive mappings.
On the convergence of implicit iterative processes for asymptotically pseudocontractive mappings in the intermediate sense.
On the convergence of iterative sequences for a family of nonexpansive mappings and inverse-strongly monotone mappings.
On the convergence of Neumann series in Banach space.
Si estende un risultato di N. Suzuki sulla convergenza della serie di Neumann per un operatore compatto in uno spazio di Banach.
On the convergence of the three-step iteration process in the class of quasi-contractive operators.
On the convergence theorems for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces.
On the equation in Banach spaces
On the existence of bounded solutions of differential equations in Banach spaces
On the existence of solutions for Volterra integral inclusions in Banach spaces.
On the existence of solutions of nonlinear integral equations in Banach spaces and Henstock-Kurzweil integrals
We prove some existence theorems for nonlinear integral equations of the Urysohn type and Volterra type , , where f and φ are functions with values in Banach spaces. Our fundamental tools are: measures of noncompactness and properties of the Henstock-Kurzweil integral.
On the existence of weak solutions of integral equations in Banach spaces
In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
On the fixed point property in direct sums of Banach spaces with strictly monotone norms
It is shown that if a Banach space X has the weak Banach-Saks property and the weak fixed point property for nonexpansive mappings and Y has the asymptotic (P) property (which is weaker than the condition WCS(Y) > 1), then X ⊕ Y endowed with a strictly monotone norm enjoys the weak fixed point property. The same conclusion is valid if X admits a 1-unconditional basis.
On the Fixed Point Set of Nonexpansive Order Preserving Maps.
On the fixed points of affine nonexpansive mappings.
On the fixed points of nonexpansive mappings in direct sums of Banach spaces
We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum X ⊕ Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.
On the fixed-point set of a family of relatively nonexpansive and generalized nonexpansive mappings.
On the Hammerstein integral equations in Banach spaces
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.
On the ishikawa iteration process in Hilbert spaces.
On the iterative test for j-contractive mappings in uniform spaces
Edelstein iterative test for j-contractive mappings in uniform spaces is established.