In this paper we establish some common fixed point theorems for two self-mappings satisfying a generalized contractive condition. This result generalizes well known comparable results in the literature. As an application, a necessary and sufficient condition for a fixed point to be a periodic point for the mapping involved therein, without appealing to continuity, in a cone metric space is established.
Abbas, M., Vetro, P., Khan, S.H. (2010). On fixed points of Berinde’s contractive mappings in cone metric spaces. CARPATHIAN JOURNAL OF MATHEMATICS, 26(2), 121-133.
On fixed points of Berinde’s contractive mappings in cone metric spaces
VETRO, Pasquale;
2010-01-01
Abstract
In this paper we establish some common fixed point theorems for two self-mappings satisfying a generalized contractive condition. This result generalizes well known comparable results in the literature. As an application, a necessary and sufficient condition for a fixed point to be a periodic point for the mapping involved therein, without appealing to continuity, in a cone metric space is established.
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