Zeroes of Multifunctions with Noncompact Image Sets-Reference-Cited by-同舟云学术

Zeroes of Multifunctions with Noncompact Image Sets

Published:2023-09-14 Issue:9 Volume:12 Page:879
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Kasyanov Pavlo O.¹^ORCID,Levenchuk Liudmyla B.²^ORCID,Piatova Angela V.²^ORCID

Affiliation:

1. Institute for Applied System Analysis, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Beresteiskyi Ave., 37, Build. 35, 03056 Kyiv, Ukraine

2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Beresteiskyi Ave., 37, Build. 35, 03056 Kyiv, Ukraine

Abstract

In this article we consider zeroes for multifunctions with possibly noncompact image sets. We introduce the notion of multifunction with K-inf-compact support. We also establish three types of applications: the Bayesian approach for analysis of financial operational risk under certain constraints, occupational health and safety measures optimization, and transfer of space innovations and technologies.

Funder

IT Manufacturing asbl

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/879/pdf

Reference25 articles.

1. Hu, S., and Papageorgiou, N.S. (2013). Handbook of Multivalued Analysis: Volume II: Applications, Springer Science & Business Media.

2. Gasiński, L., and Papageorgiou, N.S. (2016). Exercises in Analysis: Part 2: Nonlinear Analysis, Springer.

3. Solvability and pullback attractor for a class of differential hemivariational inequalities with its applications;Li;Nonlinearity,2023

4. Nonsmooth dynamical systems: From the existence of solutions to optimal and feedback control;Zeng;Bull. Sci. Math.,2022

5. Zgurovsky, M.Z., and Kasyanov, P.O. (2018). Qualitative and Quantitative Analysis of Nonlinear Systems, Springer.