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 some methods for variational inclusions
On the convergence of the Ishikawa iterates to a common fixed point of two mappings
Let be a convex subset of a complete convex metric space , and and be two selfmappings on . In this paper it is shown that if the sequence of Ishikawa iterations associated with and converges, then its limit point is the common fixed point of and . This result extends and generalizes the corresponding results of Naimpally and Singh [6], Rhoades [7] and Hicks and Kubicek [3].
On the convergence of the Ishikawa iteration in the class of quasi contractive operators.
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 Converse of Caristi's Fixed Point Theorem
Let X be a nonempty set of cardinality at most and T be a selfmap of X. Our main theorem says that if each periodic point of T is a fixed point under T, and T has a fixed point, then there exist a metric d on X and a lower semicontinuous map ϕ :X→ ℝ ₊ such that d(x,Tx) ≤ ϕ(x) - ϕ(Tx) for all x∈ X, and (X,d) is separable. Assuming CH (the Continuum Hypothesis), we deduce that (X,d) is compact.
On the covering dimension of the fixed point set of certain multifunctions
We study the covering dimension of the fixed point set of lower semicontinuous multifunctions of which many values can be non-closed or non-convex. An application to variational inequalities is presented.
On the degree theory for densely defined mappings of class .
On the density of extremal solutions of differential inclusions
An existence theorem for the cauchy problem (*) ẋ ∈ ext F(t,x), x(t₀) = x₀, in banach spaces is proved, under assumptions which exclude compactness. Moreover, a type of density of the solution set of (*) in the solution set of ẋ ∈ f(t,x), x(t₀) = x₀, is established. The results are obtained by using an improved version of the baire category method developed in [8]-[10].
On the differentiability of mappings and convex functionals: A correction
On the differentiability of mappings in functional spaces
On the differentiability of multivalued mappings. I.
On the differentiability of multivalued mappings. II.
On the differentiability of operators and convex functionals
On the Dirichlet boundary value problem for nonlinear elliptic partial differential equations in Sobolev power weight spaces
On the embedding theorem
On the equation in Banach spaces
On the equivalence of Mann and Ishikawa iteration methods.