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Year 2021, Volume: 4 Issue: 3, 101 - 106, 30.09.2021

Abstract

References

  • B. Alqahtani, A. Fulga, E. Karapinar, Non-unique fixed point results in extended b-metric space, Mathematics, 6(5) (2018), 68.
  • H.Aydi, A. Felhi, T. Kamran, E. Karapinar, M.U. Ali, On Nonlinear Contractions in New Extended b-Metric Spaces, Appl. Appl. Math.Vol., 14(1) (2019), 537-547.
  • I.A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal., 30 (1989), 26-37.
  • V. Berinde, Approximating fixed points of weak F-contractions using the Picard iteration, Fixed Point Theory, 4 (2003), 131-142.
  • V. Berinde, General constructive fixed point theorems for C´ iric´-type almost contractions in metric spaces, Carpathian J. Math., 24 (2008), 1-19.
  • S. Czerwik, Contraction mappings in b􀀀metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1 (1993), 5-11.
  • C. Chifu, Common fixed point results in extended b-metric spaces endowed with a directed graph, Results in Nonlinear Analysis, 2(1) (2019), 18-24.
  • T. Kamran, M.Samreen, O.U. Ain, A generalization of b-metric space and some fixed point theorems, Mathematics, 5(19)(2017). https://doi.org/10.3390/math5020019.
  • Z.D. Mitrovic, H. Isik, S. Radenovic, The new results in extended b-metric spaces and applications, Int. J. Nonlinear Anal. Appl., 11(1) (2020), 473-482.
  • A. Mukheimera, N. Mlaikia, K. Abodayeha, W. W. Shatanawi, New theorems on extended b-metric spaces under new contractions, Nonlinear Analysis: Modelling and Control, 24(6) (2019), 870–883.

Fixed Point Theorems for Almost Contractions in Extended b-metric Spaces

Year 2021, Volume: 4 Issue: 3, 101 - 106, 30.09.2021

Abstract

In this paper, we define the concept of almost contraction in extended b-metric spaces. We prove some common fixed point theorems for mappings satisfying almost contractions in extended b-metric spaces. These results extend and generalize the corresponding results given in the literature.

References

  • B. Alqahtani, A. Fulga, E. Karapinar, Non-unique fixed point results in extended b-metric space, Mathematics, 6(5) (2018), 68.
  • H.Aydi, A. Felhi, T. Kamran, E. Karapinar, M.U. Ali, On Nonlinear Contractions in New Extended b-Metric Spaces, Appl. Appl. Math.Vol., 14(1) (2019), 537-547.
  • I.A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal., 30 (1989), 26-37.
  • V. Berinde, Approximating fixed points of weak F-contractions using the Picard iteration, Fixed Point Theory, 4 (2003), 131-142.
  • V. Berinde, General constructive fixed point theorems for C´ iric´-type almost contractions in metric spaces, Carpathian J. Math., 24 (2008), 1-19.
  • S. Czerwik, Contraction mappings in b􀀀metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1 (1993), 5-11.
  • C. Chifu, Common fixed point results in extended b-metric spaces endowed with a directed graph, Results in Nonlinear Analysis, 2(1) (2019), 18-24.
  • T. Kamran, M.Samreen, O.U. Ain, A generalization of b-metric space and some fixed point theorems, Mathematics, 5(19)(2017). https://doi.org/10.3390/math5020019.
  • Z.D. Mitrovic, H. Isik, S. Radenovic, The new results in extended b-metric spaces and applications, Int. J. Nonlinear Anal. Appl., 11(1) (2020), 473-482.
  • A. Mukheimera, N. Mlaikia, K. Abodayeha, W. W. Shatanawi, New theorems on extended b-metric spaces under new contractions, Nonlinear Analysis: Modelling and Control, 24(6) (2019), 870–883.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Vildan Öztürk

Publication Date September 30, 2021
Submission Date August 12, 2021
Acceptance Date October 1, 2021
Published in Issue Year 2021 Volume: 4 Issue: 3

Cite

APA Öztürk, V. (2021). Fixed Point Theorems for Almost Contractions in Extended b-metric Spaces. Universal Journal of Mathematics and Applications, 4(3), 101-106.
AMA Öztürk V. Fixed Point Theorems for Almost Contractions in Extended b-metric Spaces. Univ. J. Math. Appl. September 2021;4(3):101-106.
Chicago Öztürk, Vildan. “Fixed Point Theorems for Almost Contractions in Extended B-Metric Spaces”. Universal Journal of Mathematics and Applications 4, no. 3 (September 2021): 101-6.
EndNote Öztürk V (September 1, 2021) Fixed Point Theorems for Almost Contractions in Extended b-metric Spaces. Universal Journal of Mathematics and Applications 4 3 101–106.
IEEE V. Öztürk, “Fixed Point Theorems for Almost Contractions in Extended b-metric Spaces”, Univ. J. Math. Appl., vol. 4, no. 3, pp. 101–106, 2021.
ISNAD Öztürk, Vildan. “Fixed Point Theorems for Almost Contractions in Extended B-Metric Spaces”. Universal Journal of Mathematics and Applications 4/3 (September 2021), 101-106.
JAMA Öztürk V. Fixed Point Theorems for Almost Contractions in Extended b-metric Spaces. Univ. J. Math. Appl. 2021;4:101–106.
MLA Öztürk, Vildan. “Fixed Point Theorems for Almost Contractions in Extended B-Metric Spaces”. Universal Journal of Mathematics and Applications, vol. 4, no. 3, 2021, pp. 101-6.
Vancouver Öztürk V. Fixed Point Theorems for Almost Contractions in Extended b-metric Spaces. Univ. J. Math. Appl. 2021;4(3):101-6.

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