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Articles

On the best areas for Kannan system and Chatterjea system in b-metric spaces

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Pages 973-986 | Received 03 Sep 2019, Accepted 25 Jan 2020, Published online: 18 Feb 2020

References

  • Bakhtin IA. The contraction mapping principle in quasi-metric spaces. Funct Anal. 1989;30:26–37.
  • Czerwik S. Contraction mappings in b-metric spaces. Acta Math Univ Ostrav. 1993;1:5–11.
  • Czerwik S. Nonlinear set-valued contraction mappings in b-metric spaces. Atti Sem Math Fis Univ Modena. 1998;46(2):263–276.
  • Aleksic S, Huang HP, Mitrovic ZD. Remarks on some fixed point results in b-metric spaces. J Fixed Point Theory Appl. 2018;20(4):941. doi: 10.1007/s11784-018-0626-2
  • Aydi H, Czerwik S. Fixed point theorems in generalized b-metric spaces. Modern Discrete Mathematics and Analysis: With Applications in Cryptography, Information Systems and Modeling. Springer; 2018, p. 1–9.
  • Dung NV, Hang VTL. On relaxations of contraction constants and Caristi's theorem in b-metric spaces. J Fixed Point Theory Appl. 2016;18(2):267–284. doi: 10.1007/s11784-015-0273-9
  • He F, Zhao XY, Sun YQ. Cyclic quasi-contractions of Ćirić type in b-metric spaces. J Nonlinear Sci Appl. 2017;10(3):1075–1088. doi: 10.22436/jnsa.010.03.18
  • Karapınar E, Czerwik S. (α,ψ)-Meir-Keeler contraction mappings in generalized b-metric spaces. J Funct Space. 2018;2018, Article ID 3264620.
  • Zhao XY, He F, Sun YQ. Common fixed point results for quasi-contractions of Ciric type in b-metric spaces with Qt-functions. J Nonlinear Funct Anal. 2017;2017:1–18. doi: 10.23952/jnfa.2017.43
  • Kir M, Kiziltunc H. On some well known fixed point theorems in b-metric spaces. Turk J Anal Number Theory. 2013;1(1):13–16. doi: 10.12691/tjant-1-1-4
  • Jovanović M, Kadelburg Z, Radenović S. Common fixed point results in metric-type spaces. Fixed Point Theory Appl. 2010;2010(1):978121. doi: 10.1155/2010/978121
  • Chatterjea SK. Fixed point theorem. C R Acad Bulgare Sci. 1972;25:727–730.
  • Kannan R. Some results on fixed points. Bull Calcutta Math Soc. 1968;60:71–76.

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