On fixed point theorems for absolute retracts
On the existence of weak solutions of integral equations in Banach spaces
In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
On the Volterra integral equation and axiomatic measures of weak noncompactness
We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.
On the equation
On almost periodicity defined via non-absolutely convergent integrals
We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.
A note on differential and integral equations in locally convex spaces
A note on formal power series
In this note we investigate a relationship between the boundary behavior of power series and the composition of formal power series. In particular, we prove that the composition domain of a formal power series is convex and balanced which implies that the subset consisting of formal power series which can be composed by a formal power series possesses such properties. We also provide a necessary and sufficient condition for the superposition operator to map into itself or to map into...
Measure of nonhyperconvexity and fixed-point theorems.
On some properties of hyperconvex spaces.
On some classes of almost periodic functions in abstract spaces.
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