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Generalized Implicit Set-Valued Variational Inclusion Problem with ⊕ Operation.
Generalized Implicit Set-Valued Variational Inclusion Problem with ⊕ Operation.
- Source :
- Mathematics (2227-7390); May2019, Vol. 7 Issue 5, p421, 1p
- Publication Year :
- 2019
-
Abstract
- In this paper, we consider a resolvent operator which depends on the composition of two mappings with ⊕ operation. We prove some of the properties of the resolvent operator, that is, that it is single-valued as well as Lipschitz-type-continuous. An existence and convergence result is proven for a generalized implicit set-valued variational inclusion problem with ⊕ operation. Some special cases of a generalized implicit set-valued variational inclusion problem with ⊕ operation are discussed. An example is constructed to illustrate some of the concepts used in this paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- RESOLVENTS (Mathematics)
SET-valued maps
DIFFERENTIAL inclusions
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 7
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 136754521
- Full Text :
- https://doi.org/10.3390/math7050421