Fixed Points of (ψ, φ)Ω-Contractive Mappings in Ordered P-Metric Spaces

Document Type : Research Paper

Authors

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

Abstract

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. 

Keywords

References

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Analytical and Numerical Solutions for Nonlinear Equations
Volume 4, Issue 1
December 2019
Pages 15-29

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History

  • Receive Date: 03 January 2019
  • Accept Date: 02 May 2019

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