An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces.
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An iteration method for nonexpansive mappings in Hilbert spaces.
An iterative approximation method for a countable family of nonexpansive mappings in Hilbert spaces.
An iterative method for solving the generalized system of relaxed cocoercive quasivariational inclusions and fixed point problems of an infinite family of strictly pseudocontractive mappings.
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
An optimal control problem for an elliptic variational inequality
Analysis of a Damped Nonlinear Multilevel Method.
Application of Rothe's method to parabolic variational inequalities
Approximate proximal point algorithms for finding zeroes of maximal monotone operators in Hilbert spaces.
Asymptotic behavior of solutions of nonlinear functional differential equations.
Attractors of Strongly Dissipative Systems
A class of infinite-dimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge to this point as t → +∞, no matter what the initial conditions are. This class consists of strongly dissipative systems. An example of such systems is provided by passive systems in network theory (see, e.g., MR0601947...
Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces
Bounded approximants to monotone operators on Banach spaces
Bounds on Nonlinear Operators in Finite-dimensional Banach Spaces.
Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians.
Characterizations of the ranges of some nonlinear operators and applications to boundary value problems
Characterizations of the Solution Sets of Generalized Convex Minimization Problems
2000 Mathematics Subject Classification: 90C26, 90C20, 49J52, 47H05, 47J20.In this paper we obtain some simple characterizations of the solution sets of a pseudoconvex program and a variational inequality. Similar characterizations of the solution set of a quasiconvex quadratic program are derived. Applications of these characterizations are given.
Classes d'interpolation associées à un opérateur maximal monotone
Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators
In this note we provide regularity conditions of closedness type which guarantee some surjectivity results concerning the sum of two maximal monotone operators by using representative functions. The first regularity condition we give guarantees the surjectivity of the monotone operator S(· + p) + T(·), where p ɛ X and S and T are maximal monotone operators on the reflexive Banach space X. Then, this is used to obtain sufficient conditions for the surjectivity of S + T and for the situation when...