The general hybrid approximation methods for nonexpansive mappings in Banach spaces.
The generalization of Cellina's Fixed Point Theorem
The generalized coincidence index --- application to a boundary value problem
The generalized Conley index and multiple solutions of semilinear elliptic problems.
The Grothendieck-Pietsch domination principle for nonlinear summing integral operators
We transform the concept of p-summing operators, 1≤ p < ∞, to the more general setting of nonlinear Banach space operators. For 1-summing operators on B(Σ,X)-spaces having weak integral representations we generalize the Grothendieck-Pietsch domination principle. This is applied for the characterization of 1-summing Hammerstein operators on C(S,X)-spaces. For p-summing Hammerstein operators we derive the existence of control measures and p-summing extensions to B(Σ,X)-spaces.
The Idzik type quasivariational inequalities and noncompact optimization problems
The importance of being Orlicz
The inclusion theorem for multiple summing operators
We prove that, for 1 ≤ p ≤ q < 2, each multiple p-summing multilinear operator between Banach spaces is also q-summing. We also give an improvement of this result for an image space of cotype 2. As a consequence, we obtain a characterization of Hilbert-Schmidt multilinear operators similar to the linear one given by A. Pełczyński in 1967. We also give a multilinear generalization of Grothendieck's Theorem for GT spaces.
The iterative method of generalized -concave operators.
The Kneser property for the abstract Cauchy problem
We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.
The Local Stability of Positive Solutions to the Hammerstein Equation with a Nonmonotonic Nemytskii Operator.
The locally uniform nonsquare in generalized Cesàro sequence spaces.
The measure of non-compactness and approximation numbers of certain Volterra integral operators.
The measure of noncompactness of matrix transformations on the spaces and ().
The methods of Hilbert spaces and structure of the fixed-point set of Lipschitzian mapping.
The minimal displacement problem in subspaces of the space of continuous functions of finite codimension
We show that every subspace of finite codimension of the space C[0,1] is extremal with respect to the minimal displacement problem.
The minimal displacement problem in the space l ∞
We give a lower bound for the minimal displacement characteristic in the space l ∞.
The multicores in metric spaces and their application in fixed point theory
This paper discusses the notion, the properties and the application of multicores, i.e. some compact sets contained in metric spaces.
The Nemytskij operator in the regulated functions space.
The nonlinear periodic second order boundary value problem