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 results.
Parvaneh, V., Hosseini Ghoncheh, S. (2019). Fixed points of $(\psi,\varphi)_{\Omega}$-contractive mappings in ordered p-metric spaces. Global Analysis and Discrete Mathematics, 4(1), 15-29. doi: 10.22128/gadm.2019.290.1019
MLA
Vahid Parvaneh; Seyye Jalaleddin Hosseini Ghoncheh. "Fixed points of $(\psi,\varphi)_{\Omega}$-contractive mappings in ordered p-metric spaces". Global Analysis and Discrete Mathematics, 4, 1, 2019, 15-29. doi: 10.22128/gadm.2019.290.1019
HARVARD
Parvaneh, V., Hosseini Ghoncheh, S. (2019). 'Fixed points of $(\psi,\varphi)_{\Omega}$-contractive mappings in ordered p-metric spaces', Global Analysis and Discrete Mathematics, 4(1), pp. 15-29. doi: 10.22128/gadm.2019.290.1019
VANCOUVER
Parvaneh, V., Hosseini Ghoncheh, S. Fixed points of $(\psi,\varphi)_{\Omega}$-contractive mappings in ordered p-metric spaces. Global Analysis and Discrete Mathematics, 2019; 4(1): 15-29. doi: 10.22128/gadm.2019.290.1019
)