Convex and set-valued analysis of two important parts of contemporary mathematics: convex and
set-valued analysis. In the first part
Periodic Trajectories and Coincidence Points of Tuples of Set-Valued MapsA fixed-point theorem is proved for a finite composition of
set-valued Lipschitz maps
The Problem of Controllability with the Phase Space Change the controllability of the object described by such system from the initial
set in one space to the given
set On estimates for solutions of systems of convex inequalities given point to the Lebesgue
set of a convex
function are obtained and sufficient conditions for convex-
valued The Schwarz problem for infinite sets of intervals of countable
sets of segments with limit point at infinity, including the periodic case. The solution is a
Caristi’s Inequality and α-Contraction Mappings of complete metric spaces is developed (in both the single- and
set-valued cases). On the basis
The Schwarz problem for infinite sets of intervals of countable
sets of segments with limit point at infinity, including the periodic case. The solution is a
Partial measuresWe study σ-additive
set functions defined on a hereditary subclass of a σ-algebra and taken
values Some Problems in the Theory of Analytic MultifunctionsIn this paper we give a series of open problems in the theory of pseudoconcave
sets.