Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
3.5
2.4
Journals
Mathematics
Special Issues
Set-Valued Analysis, 3rd Edition
share announcement

Set-Valued Analysis, 3rd Edition

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 August 2024 | Viewed by 1740

Special Issue Editors

Prof. Dr. Jun Li

E-Mail Website
Guest Editor
School of Data Science and Intelligent Media, The Communication University of China, Beijing, China
Interests: non-additive measures; non-linear integrals; set-valued measures; set-valued integrals; decision making; aggregation operators
Dr. Alina Cristiana Gavriluţ

E-Mail Website
Guest Editor
Department of Mathematics, “Al. I. Cuza” University of Iasi, 700506 Iasi, Romania
Interests: set-valued measures; non-additive measures; set-valued integrals; non-additive integrals; topology; fractals; multifractals; nonlinear dynamics
Special Issues, Collections and Topics in MDPI journals
Dr. Anca Croitoru

E-Mail Website
Guest Editor
Faculty of Mathematics, University \"Alexandru Ioan Cuza\" of Iasi, Bd. Carol I, No. 11, 700506 Iasi, Romania
Interests: set-valued measures; set-valued integrals; non-additive measures; non-additive integrals; set-valued functions; almost linear spaces; approximate metrics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue is dedicated to unpublished original papers with a high impact in all domains of set-valued analysis, both in theory and in applications. Set-valued analysis has made remarkable progress in the last seventy years, enriching itself continuously with new concepts, important results, and special applications. Different problems arising in the theory of control, economics, decision theory, game theory, nonlinear programming, biomathematics, or statistics have strengthened the theoretical base and the specific techniques of set-valued analysis. The consistency of its theoretical approach and the multitude of its applications have transformed set-valued analysis into a reference field of modern mathematics, which attracts an impressive number of researchers.

Prof. Dr. Jun Li
Dr. Alina Cristiana Gavriluţ
Dr. Anca Croitoru
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • general set-valued functions
  • set-valued integrals
  • set-valued measures
  • analysis of differential inclusions
  • set-valued aggregation functions
  • inequalities in set-valued frame
  • convergence theorems in set-valued frame
  • related topics

Published Papers (2 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

44 pages, 483 KiB  
Article
BV Solutions to Evolution Inclusion with a Time and Space Dependent Maximal Monotone Operator
by Charles Castaing, Christiane Godet-Thobie and Manuel D. P. Monteiro Marques
Mathematics 2024, 12(6), 896; https://doi.org/10.3390/math12060896 - 18 Mar 2024
Viewed by 410
Abstract
This paper deals with the research of solutions of bounded variation (BV) to evolution inclusion coupled with a time and state dependent maximal monotone operator. Different problems are studied: existence of solutions, unicity of the solution, existence of periodic and bounded variation right [...] Read more.
This paper deals with the research of solutions of bounded variation (BV) to evolution inclusion coupled with a time and state dependent maximal monotone operator. Different problems are studied: existence of solutions, unicity of the solution, existence of periodic and bounded variation right continuous (BVRC) solutions. Second-order evolution inclusions and fractional (Caputo and Riemann–Liouville) differential inclusions are also considered. A result of the Skorohod problem driven by a time- and space-dependent operator under rough signal and a Volterra integral perturbation in the BRC setting is given. The paper finishes with some results for fractional differential inclusions under rough signals and Young integrals. Many of the given results are novel. Full article
(This article belongs to the Special Issue Set-Valued Analysis, 3rd Edition)
14 pages, 331 KiB  
Article
Decomposition Integrals of Set-Valued Functions Based on Fuzzy Measures
by Leifan Yan, Tong Kang and Huai Zhang
Mathematics 2023, 11(13), 3013; https://doi.org/10.3390/math11133013 - 06 Jul 2023
Cited by 1 | Viewed by 819
Abstract
The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integrals, such as the Aumann integral based on [...] Read more.
The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integrals, such as the Aumann integral based on the classical Lebesgue integral, the set-valued Choquet, pan-, concave and Shilkret integrals of set-valued functions with regard to capacity, etc. Some basic properties are presented and the monotonicity of the integrals in the sense of different types of the preorder relations are shown. By means of the monotonicity, the Chebyshev inequalities of decomposition integrals for set-valued functions are established. As a special case, we show the linearity of concave integrals of set-valued functions in terms of the equivalence relation based on a kind of preorder. The coincidences among the set-valued Choquet, the set-valued pan-integral and the set-valued concave integral are presented. Full article
(This article belongs to the Special Issue Set-Valued Analysis, 3rd Edition)
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-2
Back to TopTop