Kamal Fallahi, Aris Aghanians

On quasi-contractions in metric spaces with a graph

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

In the present work, we introduceG -quasi-contractionsusing directedgraphs in metric spaces with a graph and we show that this contrac-tion generalizes a large number of contractions.the existence of xed points forWe then investigateG -quasi-contractionsunder two dif-ferent conditions and discuss the main theorem. Finally, we list someconsequences of our theorem where either the contractive condition isreplaced with a stronger one or the underlying space is changed to acomplete metric space or a complete cone metric space.

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