Some Fixed Point Theorems for Generalized α-η-ψ-Geraghty Contractive Type Mappings in Partial b-Metric Spaces

Authors

  • A. Farajzadeh Department of Mathematics, Razi University, Kermanshah, 67149
  • C. Noytaptim Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000
  • A. Kaewcharoen Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000

DOI:

https://doi.org/10.26713/jims.v10i3.583

Keywords:

Generalized α-η-ψ-Geraghty contractive type mappings, α-orbital attractive mappings with respect to η, Complete partial b-metric spaces, Fixed points

Abstract

In this paper, we introduce the notion of generalized α-η-ψ-Geraghty contractive type mappings in the set up of partial b-metric spaces and α-orbital attractive mappings with respect to η. Furthermore, the fixed point theorems for such mappings in complete partial b-metric spaces are proven without assuming the subadditivity of ψ. Some examples are also provided for supporting of our main results.

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References

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Published

2018-09-30
CITATION

How to Cite

Farajzadeh, A., Noytaptim, C., & Kaewcharoen, A. (2018). Some Fixed Point Theorems for Generalized α-η-ψ-Geraghty Contractive Type Mappings in Partial b-Metric Spaces. Journal of Informatics and Mathematical Sciences, 10(3), 455–578. https://doi.org/10.26713/jims.v10i3.583

Issue

Vol. 10 No. 3 (2018)

Section

Research Article

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