Abstract:
In this paper we study a system of operatorial equations in terms of
vector-valued distances. The basic tools are some classical fixed
point principles and data dependence of the fixed points in the case
of Perov fixed point theorem. Applications to some systems of
functional integral equations are also given.
Key Words: Vector-valued distance, matrix convergent
to zero, fixed point principle, system of operatorial equations,
system of integral equations.
2000 Mathematics Subject Classification: Primary: 47H10;
Secondary: 54H25, 47J05, 45G15.
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