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A common fixed point theorem for cyclic operators on partial metric spaces

Karapınar Erdal (Department of Mathematics, Atılım University, Ankara, Turkey)
Shobkolaei Nabi (Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran)
Sedghi Shaban (Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran)
Vaezpour Mansour S. (Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran)

In this paper, we prove a common fixed point theorem for two self-mappings satisfying certain conditions over the class of partial metric spaces. In particular, the main theorem of this manuscript extends some well-known fixed point theorems in the literature on this topic.

Keywords: Fixed point, partial metric, cyclic (-ψ)-contraction, common fixed point