Fixed point theorems for nonself Bianchini type contractions in Banach spaces endowed with a graph

Horvat-Marc, Andrei and Balog, Laszlo



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In this paper we present an extension of fixed point theorem for self mappings on metric spaces endowed with a graph and which satisfies a Bianchini contraction condition. We establish conditions which ensure the existence of fixed point for a non-self Bianchini contractions T:K\subset X \to X that satisfy Rothe’s boundary condition T\left(\partial K\right) \subset K.

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Balog, Laszlo, Horvat-Marc, Andrei