-stability of Picard iteration in metric spaces.
Tensor norms related to the space of Cohen p-nuclear multilinear mappings.
Terminal value problems of impulsive integro-differential equations in Banach spaces.
The aftermath of the intermediate value theorem.
The application of fixed point theorems to global nonlinear controllability problems.
The Banach contraction mapping principle and cohomology
By a dynamical system we mean the action of the semigroup on a metrizable topological space induced by a continuous selfmap . Let denote the set of all compatible metrics on the space . Our main objective is to show that a selfmap of a compact space is a Banach contraction relative to some if and only if there exists some which, regarded as a -cocycle of the system , is a coboundary.
The Banach fixed point method for Ito stochastic differential equations
The base-normed space of a unital group
The best approximation and an extension of a fixed point theorem of F. E. Browder.
The solutions of the series-like iterative equation with variable coefficients.
The characteristic of noncompact convexity and random fixed point theorem for set-valued operators
Let be a measurable space, a Banach space whose characteristic of noncompact convexity is less than 1, a bounded closed convex subset of , the family of all compact convex subsets of We prove that a set-valued nonexpansive mapping has a fixed point. Furthermore, if is separable then we also prove that a set-valued nonexpansive operator has a random fixed point.
The coincidence index for fundamentally contractible multivalued maps with nonconvex values
We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.
The common fixed point set of commuting nonexpansive mappings in Cartesian products of separable spaces
In this note we derive a theorem about the common fixed point set of commuting nonexpansive mappings defined in Cartesian products of separable spaces. The proof is based on a method due to R. E. Bruck.
The continuity of superposition operators on some sequence spaces defined by moduli
Let and be solid sequence spaces. For a sequence of modulus functions let . Given another sequence of modulus functions , we characterize the continuity of the superposition operators from into for some Banach sequence spaces and under the assumptions that the moduli
The continuity of the rearrangement in
The control agglomerations of an internet network with delay feedback.
The convergence of an implicit mean value iteration.
The convergence of mean value iteration for a family of maps.
The Convergence of Successive Approximations for Boundary Value Problems of Hyperbolic Equations in the Banach Space
The degree of proper C2 Fredholm mapppings I.