On spaces and
On spectra of nonlinear operators
On strong convergence by the hybrid method for equilibrium and fixed point problems for an infinite family of asymptotically nonexpansive mappings.
On strongly generalized preinvex functions.
On the application of measure of noncompactness to existence theorems
On the Approximative Roots of Maximal Monotone Mappings
On the asymptotic behaviour of nonlinear contraction semigroups.
On the autonomous Nemytskij operator in Hölder spaces.
On the common fixed point for commuting Lipschitz functions
On the compactness and condensing of nonlinear superposition operators
On the Conley index in Hilbert spaces - a multivalued case
We introduce the cohomological Conley type index theory for multivalued flows generated by vector fields which are compact and convex-valued perturbations of some linear operators.
On the Conley index in Hilbert spaces in the absence of uniqueness
Consider the ordinary differential equation (1) ẋ = Lx + K(x) on an infinite-dimensional Hilbert space E, where L is a bounded linear operator on E which is assumed to be strongly indefinite and K: E → E is a completely continuous but not necessarily locally Lipschitzian map. Given any isolating neighborhood N relative to equation (1) we define a Conley-type index of N. This index is based on Galerkin approximation of equation (1) by finite-dimensional ODEs and extends...
On the connectedness of the set of fixed points of a compact operator in the Fréchet space
On the continuity and differentiability properties of convex functionals
On the continuity properties of nonlinear operators and functionals
On the continuous dependence of the fixed points for -contractive-type operators
On the convergence and application of Stirling's method
We provide new sufficient convergence conditions for the local and semilocal convergence of Stirling's method to a locally unique solution of a nonlinear operator equation in a Banach space setting. In contrast to earlier results we do not make use of the basic restrictive assumption in [8] that the norm of the Fréchet derivative of the operator involved is strictly bounded above by 1. The study concludes with a numerical example where our results compare favorably with earlier ones.
On the convergence for an iterative method for quasivariational inclusions.
On the convergence of an implicit iterative process for generalized asymptotically quasi-nonexpansive mappings.
On the convergence of implicit iterative processes for asymptotically pseudocontractive mappings in the intermediate sense.