Symmetric functional set-valued integral equations and Bihari–LaSalle inequality
Authors:
- Marek T. Malinowski
Abstract
In the paper, we consider functional set-valued integral equations whose representation contains set-valued integrals occurring symmetrically on both sides of the equation. On the coefficients of the equation, we impose certain conditions, more general than the standard Lipschitz condition, which allow the application of the Bihari–LaSalle inequality in the proofs of the obtained theorems. In this way, we obtain a result about the existence and uniqueness of the solution of the equation under consideration and the insensitivity of the solution in the case of minor changes in the parameters of the equation.
- Record ID
- CUTb57b9ab0d3c84965b58417f30e015dcf
- In press
- Yes
- Publication categories
- ;
- Author
- Journal series
- Symmetry, ISSN , e-ISSN 2073-8994, Monthly
- Issue year
- 2022
- Vol
- 14
- No
- 11
- Pages
- [1-13]
- Article number
- 2246
- Other elements of collation
- Bibliografia (na s.) - 12-13; Bibliografia (liczba pozycji) - 24; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 14, Iss. 11
- Substantive notes
- This article belongs to the Special Issue: Symmetry in Functional Equations and Analytic Inequalities III
- Keywords in English
- set-valued integral equations, existence and uniqueness of solution, Bihari–LaSalle inequality
- ASJC Classification
- ; ; ;
- DOI
- DOI:10.3390/sym14112246 Opening in a new tab
- URL
- https://www.mdpi.com/2073-8994/14/11/2246 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 70
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTb57b9ab0d3c84965b58417f30e015dcf/
- URN
urn:pkr-prod:CUTb57b9ab0d3c84965b58417f30e015dcf
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