Fixed points of $(\psi,\varphi)_{\Omega}$-contractive mappings in ordered p-metric spaces

Document Type : Research Paper


1 Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

2 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 $(\psi ,\varphi )_{\Omega}$-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