Vahid Parvaneh - Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
Seyye Jalaleddin Hosseini Ghoncheh - Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran

In this paper, we introduce the notion of an extended metric space (p-metric space) as a new generalization of the concept of b-metric space. Also, we present the concept of (ψ, φ)Ω-contractive mappings and we establish some fixed point results for this class of mappings in ordered complete p-metric spaces. Our results generalize several well-known comparable results in the literature. Finally, examples support our results.

Fixed point, complete metric space, ordered b-metric space