Ioan A. Rus and Marcel-Adrian Serban: Some existence results for a system of operatorial equations, p.101-108

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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