15 citations · 35 across the 7 of their papers we have counts for
7 papers
The approximate variation of univariate uniform space valued functions and pointwise selection principles
Vyacheslav V. Chistyakov, Svetlana A. Chistyakova
Let and be a uniform space with an at most countable gage of pseudometrics of the uniformity . Given $…
The approximate variation to pointwise selection principles
Vyacheslav V. Chistyakov
Let , be a metric space with metric , and be the set of all functions mapping into . Given , we study the properties of the approx…
Asymmetric variations of multifunctions with application to functional inclusions
Vyacheslav V. Chistyakov
Under certain initial conditions, we prove the existence of set-valued selectors of univariate compact-valued multifunctions of bounded (Jordan) variation when the notion of variat…
The joint modulus of variation of metric space valued functions and pointwise selection principles
Vyacheslav V. Chistyakov, Svetlana A. Chistyakova
Given and a metric space , we introduce a nondecreasing sequence of pseudometrics on (the set of all functions from into ), called th…
Concepts of Stability in Discrete Optimization Involving Generalized Addition Operations
Vyacheslav V. Chistyakov, Panos M. Pardalos
The paper addresses the tolerance approach to the sensitivity analysis of optimal solutions to the nonlinear optimization problem of the form $$\mbox{$\bigoplus\limits_{y\in S}C(y)…
A fixed point theorem for contractions in modular metric spaces
Vyacheslav V. Chistyakov
The notion of a (metric) modular on an arbitrary set and the corresponding modular space, more general than a metric space, were introduced and studied recently by the author [V. V…
Maps of several variables of finite total variation and Helly-type selection principles
Vyacheslav V. Chistyakov, Yuliya V. Tretyachenko
Given a map from a rectangle in the n-dimensional real Euclidean space into a metric semigroup, we introduce a concept of the total variation, which generalizes a similar concept d…