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.
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Parvaneh, V., & Hosseini Ghoncheh, S. J. (2019). Fixed Points of (ψ, φ)Ω-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 (ψ, φ)Ω-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. J. (2019). 'Fixed Points of (ψ, φ)Ω-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. J. Fixed Points of (ψ, φ)Ω-Contractive Mappings in Ordered P-Metric Spaces. Global Analysis and Discrete Mathematics, 2019; 4(1): 15-29. doi: 10.22128/gadm.2019.290.1019