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Cayley Inclusion Problem Involving XOR-Operation.
- Source :
- Mathematics (2227-7390); Mar2019, Vol. 7 Issue 3, p302, 1p
- Publication Year :
- 2019
-
Abstract
- In this paper, we study an absolutely new problem, namely, the Cayley inclusion problem which involves the Cayley operator and a multi-valued mapping with XOR-operation. We have shown that the Cayley operator is a single-valued comparison and it is Lipschitz-type-continuous. A fixed point formulation of the Cayley inclusion problem is shown by using the concept of a resolvent operator as well as the Yosida approximation operator. Finally, an existence and convergence result is proved. An example is constructed for some of the concepts used in this work. [ABSTRACT FROM AUTHOR]
- Subjects :
- SET-valued maps
RESOLVENTS (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 7
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 135604431
- Full Text :
- https://doi.org/10.3390/math7030302