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
Continuity of the superposition of set-valued functions.
Continuity properties of nonlinear mappings
Continuous dependence on data for quasiautonomous nonlinear boundary value problems.
Continuous dependence on parameters of the fixed points set for some set-valued operators
In this paper we extend the notion of I⁰-continuity and uniform I⁰-continuity from [2] to set-valued operators. Using these properties, we prove some results on continuous dependence of the fixed points set for families of contractive type set-valued operators.
Continuous extension of order-preserving homogeneous maps
Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have at least...
Continuous extensions of multifunctions
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces.