Note on KKM maps and applications.
Note on measures of noncompactness in Banach sequence spaces.
The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.The notion of a measure of weak noncompactness was introduced by De Blasi [8] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations (cf. [2,3,9,10,11], for instance).In this note we summarize our...
Note on nonlinear semigroups and free boundary problem for controlled Markov processes
Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations
Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings.
Note on the paper: interior proximal method for variational inequalities on non-polyhedral sets
In this paper we clarify that the interior proximal method developed in [6] (vol. 27 of this journal) for solving variational inequalities with monotone operators converges under essentially weaker conditions concerning the functions describing the "feasible" set as well as the operator of the variational inequality.
Note on weakly inward mappings
The Nielsen fixed point theory is used to show several results for certain operator equations involving weakly inward mappings.
N-th order impulsive integro-differential equations in Banach spaces.
Numerical precision for differential inclusions with uniqueness
In this article, we show the convergence of a class of numerical schemes for certain maximal monotone evolution systems; a by-product of this results is the existence of solutions in cases which had not been previously treated. The order of these schemes is in general and when the only non Lipschitz continuous term is the subdifferential of the indicatrix of a closed convex set. In the case of Prandtl’s rheological model, our estimates in maximum norm do not depend on spatial dimension.
Numerical precision for differential inclusions with uniqueness
In this article, we show the convergence of a class of numerical schemes for certain maximal monotone evolution systems; a by-product of this results is the existence of solutions in cases which had not been previously treated. The order of these schemes is 1/2 in general and 1 when the only non Lipschitz continuous term is the subdifferential of the indicatrix of a closed convex set. In the case of Prandtl's rheological model, our estimates in maximum norm do not depend on spatial dimension. ...
Numerical range and related nonlinear functional equations
Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation.