Composite implicit general iterative process for a nonexpansive semigroup in Hilbert space.
Composition results for strongly summing and dominated multilinear operators
In this paper we prove some composition results for strongly summing and dominated operators. As an application we give necessary and sufficient conditions for a multilinear tensor product of multilinear operators to be strongly summing or dominated. Moreover, we show the failure of some possible n-linear versions of Grothendieck’s composition theorem in the case n ≥ 2 and give a new example of a 1-dominated, hence strongly 1-summing bilinear operator which is not weakly compact.
Computation of antieigenvalues.
Computation of topological degree in ordered Banach spaces with lattice structure and applications
Using the cone theory and the lattice structure, we establish some methods of computation of the topological degree for the nonlinear operators which are not assumed to be cone mappings. As applications, existence results of nontrivial solutions for singular Sturm-Liouville problems are given. The nonlinearity in the equations can take negative values and may be unbounded from below.
Computer-assisted proofs for fixed point problems in Sobolev spaces.
Concerning interior mapping theorem
Connections between some measures of non-compactness and associated operators.
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the δ-separation of the points of a set are studied in special classes of Banach spaces. These relations are applied to compare operators which are contractive for these measures.
Constant and variable drop theorems on metrizable locally convex spaces
Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces
In this paper, we propose and analyse an iterative algorithm for the approximation of a common solution for a finite family of k-strict pseudocontractions and two finite families of generalized equilibrium problems in the setting of Hilbert spaces. Strong convergence results of the proposed iterative algorithm together with some applications to solve the variational inequality problems are established in such setting. Our results generalize and improve various existing results in the current literature....
Construction of fixed points by some iterative schemes.
Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
Continuation theory for general contractions in gauge spaces.
Continuity and differentiability properties of nonlinear operators
Continuity and Fréchet-Differentiability of Nemytskij Operators in Hölder Spaces.
Continuity, compactness, fixed points, and integral equations.
Continuity for multilinear integral operators on some Hardy and Herz type spaces.
Continuity of fuzzy multifunctions.
Continuity of hysteresis operators in Sobolev spaces
We prove that the classical Prandtl, Ishlinskii and Preisach hysteresis operators are continuous in Sobolev spaces for , (localy) Lipschitz continuous in and discontinuous in for arbitrary . Examples show that this result is optimal.
Continuity of Nemyckij's operator in Hölder spaces
Continuity of superposition operators on and