General ways of constructing accelerating Newton-like iterations on partially ordered topological spaces.
Generalized communication conditions and the eigenvalue problem for a monotone and homogenous function
This work is concerned with the eigenvalue problem for a monotone and homogenous self-mapping of a finite dimensional positive cone. Paralleling the classical analysis of the (linear) Perron–Frobenius theorem, a verifiable communication condition is formulated in terms of the successive compositions of , and under such a condition it is shown that the upper eigenspaces of are bounded in the projective sense, a property that yields the existence of a nonlinear eigenvalue as well as the projective...
Generalized variational-like inequalities for pseudo-monotone type III operators
Our aim in this paper is mainly to prove some existence results for solutions of generalized variational-like inequalities with (η,h)-pseudo-monotone type III operators defined on non-compact sets in topological vector spaces.
Global asymptotic stability of inhomogeneous iterates.