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A note on Kannan type mappings with a F-contractive iterate

Year 2019, Volume: 2 Issue: 3, 143 - 146, 01.10.2019

Selma Gulyaz-ozyurt

Abstract

In this paper, we revisited fixed point theorem for Kannan type mapping  with a contractive iterate at a point in the setting of $F$-construction. The given results extend and improve the related results in the literature.

Keywords

Fixed point $b$-metric space contractive iteration

References

  • [1] Banach, S. Sur les operations dans les ensembles abstraits et leur application auxequations integrales, Fundamenta Mathematicae, 3 (1922), 133–181.
  • [2] Bryant, V. W. A remark on a fixed point theorem for iterated mappings, The AmericanMathematical Monthly, vol. 75, pp. 399–400, 1968.
  • [3] L. F. Guseman, Fixed point theorems for mappings with a contractive iterate at a point,Proc. Am. Math. Soc. 26, (1970), 615-618.
  • [4] A. Özturk, A fixed point theorem for mappings with an F-contractive iterate, Advancesin the Theory of Nonlinear Analysis and its Applications 3 (2019) No. 3, 231-235.
  • [5] V. M. Sehgal, A fixed point theorem for mappings with a contractive iterate, Proc.Amer. Math. Soc., 23 (1969), 631-634.
  • [6] D. Wardowski, Fixed Points of a new type of contractive mappings in complete metricspaces, Fixed Point Theory Appl. 94 (2012).

Year 2019, Volume: 2 Issue: 3, 143 - 146, 01.10.2019

Selma Gulyaz-ozyurt

Abstract

References

  • [1] Banach, S. Sur les operations dans les ensembles abstraits et leur application auxequations integrales, Fundamenta Mathematicae, 3 (1922), 133–181.
  • [2] Bryant, V. W. A remark on a fixed point theorem for iterated mappings, The AmericanMathematical Monthly, vol. 75, pp. 399–400, 1968.
  • [3] L. F. Guseman, Fixed point theorems for mappings with a contractive iterate at a point,Proc. Am. Math. Soc. 26, (1970), 615-618.
  • [4] A. Özturk, A fixed point theorem for mappings with an F-contractive iterate, Advancesin the Theory of Nonlinear Analysis and its Applications 3 (2019) No. 3, 231-235.
  • [5] V. M. Sehgal, A fixed point theorem for mappings with a contractive iterate, Proc.Amer. Math. Soc., 23 (1969), 631-634.
  • [6] D. Wardowski, Fixed Points of a new type of contractive mappings in complete metricspaces, Fixed Point Theory Appl. 94 (2012).
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Selma Gulyaz-ozyurt 0000-0002-1876-6560

Publication Date October 1, 2019
Published in Issue Year 2019 Volume: 2 Issue: 3

Cite

APA Gulyaz-ozyurt, S. (2019). A note on Kannan type mappings with a F-contractive iterate. Results in Nonlinear Analysis, 2(3), 143-146.
AMA Gulyaz-ozyurt S. A note on Kannan type mappings with a F-contractive iterate. RNA. October 2019;2(3):143-146.
Chicago Gulyaz-ozyurt, Selma. “A Note on Kannan Type Mappings With a F-Contractive Iterate”. Results in Nonlinear Analysis 2, no. 3 (October 2019): 143-46.
EndNote Gulyaz-ozyurt S (October 1, 2019) A note on Kannan type mappings with a F-contractive iterate. Results in Nonlinear Analysis 2 3 143–146.
IEEE S. Gulyaz-ozyurt, “A note on Kannan type mappings with a F-contractive iterate”, RNA, vol. 2, no. 3, pp. 143–146, 2019.
ISNAD Gulyaz-ozyurt, Selma. “A Note on Kannan Type Mappings With a F-Contractive Iterate”. Results in Nonlinear Analysis 2/3 (October 2019), 143-146.
JAMA Gulyaz-ozyurt S. A note on Kannan type mappings with a F-contractive iterate. RNA. 2019;2:143–146.
MLA Gulyaz-ozyurt, Selma. “A Note on Kannan Type Mappings With a F-Contractive Iterate”. Results in Nonlinear Analysis, vol. 2, no. 3, 2019, pp. 143-6.
Vancouver Gulyaz-ozyurt S. A note on Kannan type mappings with a F-contractive iterate. RNA. 2019;2(3):143-6.