A weak ergodic theorem for infinite products of Lipschitzian mappings.
A weighted symmetrization for nonlinear elliptic and parabolic equations in inhomogeneous media
In the theory of elliptic equations, the technique of Schwarz symmetrization is one of the tools used to obtain a priori bounds for classical and weak solutions in terms of general information on the data. A basic result says that, in the absence of lower-order terms, the symmetric rearrangement of the solution of an elliptic equation, that we write , can be compared pointwise with the solution of the symmetrized problem. The main question we address here is the modification of the method to...
About one fixed point theorem.
About robust stability of dynamic systems with time delays through fixed point theory.
About the inverse operations on the hyperespace of nonlinear monotone operators.
Absolutely continuous selections from absolutely continuous set valued map
Abstract inclusions in Banach spaces with boundary conditions of periodic type
We study in the space of continuous functions defined on [0,T] with values in a real Banach space E the periodic boundary value problem for abstract inclusions of the form ⎧ ⎨ ⎩ x (T) = x(0), where, is a multivalued map with convex compact values, ⊂ E, is the superposition operator generated by F, and S: × L¹([0,T];E) → C([0,T]; ) an abstract operator. As an application, some results are given to the periodic boundary value problem for nonlinear differential inclusions governed by m-accretive...
Abstract Quasilinear Parabolic Equations.
Abstract semilinear equations in Banach spaces
Si studiano le proprietà delle soluzioni dell'equazione semilineare astratta quando è il generatore infinitesimale di un semigruppo analitico in uno spazio di Banach. Vengono provati nuovi teoremi di regolarità anche nel caso in cui non è continuo in tutto lo spazio.
Abstract semilinear equations with small nonlinearities
Abstract Subdifferential Calculus and Semi-Convex Functions
∗ The work is partially supported by NSFR Grant No MM 409/94.We develop an abstract subdifferential calculus for lower semicontinuous functions and investigate functions similar to convex functions. As application we give sufficient conditions for the integrability of a lower semicontinuous function.
Abstract superposition operators on mappings of bounded variation of two real variables. II.
Abstract superposition operators on mappings of bounded variation of two real variables. I.
Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions
2000 Mathematics Subject Classification: 47H04, 65K10.In this paper we investigate the existence of a sequence (xk ) satisfying 0 ∈ f (xk )+ ∇f (xk )(xk+1 − xk )+ 1/2 ∇2 f (xk )(xk+1 − xk )^2 + G(xk+1 ) and converging to a solution x∗ of the generalized equation 0 ∈ f (x) + G(x); where f is a function and G is a set-valued map acting in Banach spaces.
Accretive metric projections.
Addendum to the paper: “Some fixed point theorems for multivalued mappings”
Adjungiertenbildungen in der Operatortheorie.
Admissible maps, intersection results, coincidence theorems
We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.
Affine Flows and Distal Points.
Affine-invariant monotone iteration methods with application to systems of nonlinear two-point boundary value problems
In this paper we present a new theorem for monotone including iteration methods. The conditions for the operators considered are affine-invariant and no topological properties neither of the linear spaces nor of the operators are used. Furthermore, no inverse-isotony is demanded. As examples we treat some systems of nonlinear ordinary differential equations with two-point boundary conditions.