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Year 2021, Issue: 37, 1 - 7, 31.12.2021

Demet Binbaşıoğlu

https://doi.org/10.53570/jnt.1009413

Abstract

References

  • S. Czerwik, Contraction Mappings in b-Metric Spaces, Acta Mathematica et Informatica Universitatis Ostraviensis 1(1) (1993) 5–11.
  • M. A. Khamsi, N. Hussain, KKM Mapping in Metric Type Spaces, Nonlinear Analysis 7(9) (2010) 3123–3129.
  • R. Fagin, R. Kumar, D. Sivakumar, Comparing Top k Lists, SIAM Journal on Discrete Mathematics 17(1) (2003) 134–160.
  • W. Kirk, N. Shahzad, Fixed Point Theory in Distance Spaces, Springer: Cham, 2014.
  • V. S. Gahler, 2-Metrische Raume und ihre Topologishe Strüktür, Mathematische Nachrichten 26 (1963/1964) 115–118.
  • Z. Mustafa, B. Sims, A New Approach to Generalized Metric Spaces, Journal of Nonlinear and Convex Analysis 7(2) (2006) 289–297.
  • S. G. Matthews, Partial Metric Topology. In: Proceedings of the 8th Summer Conference on General Topology and Applications. Annals of the New York Academy of Sciences 728 (1994) 183–197.
  • M. Jleli, B. Samet, A Generalized Metric Space and Related Fixed-Point Theorems, Fixed Point Theory and Its Applications Article Number 61 (2015) 1–14.
  • M. Jleli, B. Samet, On a New Generalization of Metric Spaces, Journal of Fixed-Point Theory and Applications Article Number 128 20 (2018) 1–20.
  • A. L. Alnaser, D. Lateef, A. H. Fouad, J. Ahmad, Relation Theoretic Contraction Results in Ƒ-Metric Spaces, Journal of Nonlinear Sciences and Applications 12 (2019) 337–344.
  • M. Abbas, G. Jungck, Common Fixed-Point Results for Non-Commuting Mappings without Continuity in Cone Metric Spaces, Journal of Mathematical Analysis and Applications 341 (2008) 416–420.

Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces

Year 2021, Issue: 37, 1 - 7, 31.12.2021

Demet Binbaşıoğlu

https://doi.org/10.53570/jnt.1009413

Abstract

Recently, Ƒ-metric space has been started, and a natural topology has been described in these spaces by Jleli and Samet. Furthermore, a new form of the Banach contraction principle has been given in the new spaces. In this work, we present some common fixed-point theorems for two weakly compatible mappings in the Ƒ-metric spaces. We also mention examples that confirm our results.

Keywords

Common fixed point Ƒ-metric space weakly compatible

References

  • S. Czerwik, Contraction Mappings in b-Metric Spaces, Acta Mathematica et Informatica Universitatis Ostraviensis 1(1) (1993) 5–11.
  • M. A. Khamsi, N. Hussain, KKM Mapping in Metric Type Spaces, Nonlinear Analysis 7(9) (2010) 3123–3129.
  • R. Fagin, R. Kumar, D. Sivakumar, Comparing Top k Lists, SIAM Journal on Discrete Mathematics 17(1) (2003) 134–160.
  • W. Kirk, N. Shahzad, Fixed Point Theory in Distance Spaces, Springer: Cham, 2014.
  • V. S. Gahler, 2-Metrische Raume und ihre Topologishe Strüktür, Mathematische Nachrichten 26 (1963/1964) 115–118.
  • Z. Mustafa, B. Sims, A New Approach to Generalized Metric Spaces, Journal of Nonlinear and Convex Analysis 7(2) (2006) 289–297.
  • S. G. Matthews, Partial Metric Topology. In: Proceedings of the 8th Summer Conference on General Topology and Applications. Annals of the New York Academy of Sciences 728 (1994) 183–197.
  • M. Jleli, B. Samet, A Generalized Metric Space and Related Fixed-Point Theorems, Fixed Point Theory and Its Applications Article Number 61 (2015) 1–14.
  • M. Jleli, B. Samet, On a New Generalization of Metric Spaces, Journal of Fixed-Point Theory and Applications Article Number 128 20 (2018) 1–20.
  • A. L. Alnaser, D. Lateef, A. H. Fouad, J. Ahmad, Relation Theoretic Contraction Results in Ƒ-Metric Spaces, Journal of Nonlinear Sciences and Applications 12 (2019) 337–344.
  • M. Abbas, G. Jungck, Common Fixed-Point Results for Non-Commuting Mappings without Continuity in Cone Metric Spaces, Journal of Mathematical Analysis and Applications 341 (2008) 416–420.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Demet Binbaşıoğlu 0000-0001-7041-5277

Publication Date December 31, 2021
Submission Date October 14, 2021
Published in Issue Year 2021 Issue: 37

Cite

APA Binbaşıoğlu, D. (2021). Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces. Journal of New Theory(37), 1-7. https://doi.org/10.53570/jnt.1009413
AMA Binbaşıoğlu D. Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces. JNT. December 2021;(37):1-7. doi:10.53570/jnt.1009413
Chicago Binbaşıoğlu, Demet. “Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces”. Journal of New Theory, no. 37 (December 2021): 1-7. https://doi.org/10.53570/jnt.1009413.
EndNote Binbaşıoğlu D (December 1, 2021) Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces. Journal of New Theory 37 1–7.
IEEE D. Binbaşıoğlu, “Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces”, JNT, no. 37, pp. 1–7, December 2021, doi: 10.53570/jnt.1009413.
ISNAD Binbaşıoğlu, Demet. “Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces”. Journal of New Theory 37 (December 2021), 1-7. https://doi.org/10.53570/jnt.1009413.
JAMA Binbaşıoğlu D. Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces. JNT. 2021;:1–7.
MLA Binbaşıoğlu, Demet. “Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces”. Journal of New Theory, no. 37, 2021, pp. 1-7, doi:10.53570/jnt.1009413.
Vancouver Binbaşıoğlu D. Some Results of Common Fixed Point for Compatible Mappings in Ƒ-Metric Spaces. JNT. 2021(37):1-7.
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