The convergence of mean value iteration for a family of maps.
The fixed point index for accretive mapping with -set contraction perturbation in cones.
The perturbed generalized proximal point algorithm
The Perturbed Generalized Tikhonov's Algorithm
We work on the research of a zero of a maximal monotone operator on a real Hilbert space. Following the recent progress made in the context of the proximal point algorithm devoted to this problem, we introduce simultaneously a variable metric and a kind of relaxation in the perturbed Tikhonov’s algorithm studied by P. Tossings. So, we are led to work in the context of the variational convergence theory.
The perturbed Tikhonov's algorithm and some of its applications
Théorèmes de surjectivité pour une classe d'opérateurs dans les espaces de Hilbert
Time periodic solutions to a nonhomogeneous Dirichlet periodic problem.
Topological degree and application to a parabolic variational inequality problem.
Topological degree for maximal monotone operators and application to parametric optimization problems.
Topological degree theory in fuzzy metric spaces
The aim of this paper is to modify the theory to fuzzy metric spaces, a natural extension of probabilistic ones. More precisely, the modification concerns fuzzily normed linear spaces, and, after defining a fuzzy concept of completeness, fuzzy Banach spaces. After discussing some properties of mappings with compact images, we define the (Leray-Schauder) degree by a sort of colimit extension of (already assumed) finite dimensional ones. Then, several properties of thus defined concept are proved....