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FIXED POINT EQUATIONS WITH ABSTRACT VOLTERRA OPERATORS ON SPACES OF FUNCTIONS OF SEVERAL VARIABLES.
- Source :
-
Applicable Analysis & Discrete Mathematics . Apr2022, Vol. 16 Issue 1, p189-201. 13p. - Publication Year :
- 2022
-
Abstract
- Several notions of abstract Volterra operators on spaces of functions of one variable are well known. In this paper, we introduce various notions of abstract Volterra operators in spaces of functions of several variables. Some fixed point equations with such abstract Volterra operators are also studied. The basic ingredient in the theory of step by step contraction is the notion of G-contraction. The relevance of step by step contraction principle is illustrated by applications in the theory of Darboux-Ionescu problem. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VOLTERRA operators
*FUNCTION spaces
*OPERATOR functions
*VOLTERRA equations
Subjects
Details
- Language :
- English
- ISSN :
- 14528630
- Volume :
- 16
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis & Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 157061997
- Full Text :
- https://doi.org/10.2298/AADM180615016P