Research Article

On some alpha-admissible contraction mappings on Branciari b-metric spaces

Volume: 1 Number: 1 September 30, 2017
EN

On some alpha-admissible contraction mappings on Branciari b-metric spaces

Abstract

In this paper α-admissible contraction mappings on Branciari b-metric spaces are defined. Conditions for the existence and uniqueness of fixed points for these mappings are discussed and related theorems are proved. Various consequences of these theorems are given and specific examples are presented.

Keywords

References

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  3. [3] A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized matric spaces, Publ. Math. Debrecen, vol.7(1-2), 31-37, (2000).
  4. [4] V. Berinde, Contrac¸tii Generalizate ¸si Aplica¸tii, Editura Cub Press, vol. 2 , Baia Mare, Romania, (1997).
  5. [5] V. Berinde, Sequences of operators and fixed points in quasi-metric spaces, Mathematica, vol. 41, 23-27, (1997). 1
  6. [6] V. Berinde, Generalized contractions in quasimetric spaces, in Seminar on Fixed Point Theory, vol. 93 of Preprint 3, Babe¸s-Bolyai University, Cluj-Napoca, Romania, 3-9, (1993).
  7. [7] S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostrav., vol. 1, 5–11, (1993).
  8. [8] R. George, S. Radenovic, K.P. Reshma, S. Shukla, Rectangular b-metric spaces and contraction principle, J. Nonlinear Sci. Appl., vol. 8, 1005–1013, (2015).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Selma Gülyaz-özyurt *
Cumhuriyet University
Türkiye

Publication Date

September 30, 2017

Submission Date

April 30, 2017

Acceptance Date

June 5, 2017

Published in Issue

Year 2017 Volume: 1 Number: 1

APA
Gülyaz-özyurt, S. (2017). On some alpha-admissible contraction mappings on Branciari b-metric spaces. Advances in the Theory of Nonlinear Analysis and Its Application, 1(1), 1-13. https://doi.org/10.31197/atnaa.318445
AMA
1.Gülyaz-özyurt S. On some alpha-admissible contraction mappings on Branciari b-metric spaces. ATNAA. 2017;1(1):1-13. doi:10.31197/atnaa.318445
Chicago
Gülyaz-özyurt, Selma. 2017. “On Some Alpha-Admissible Contraction Mappings on Branciari B-Metric Spaces”. Advances in the Theory of Nonlinear Analysis and Its Application 1 (1): 1-13. https://doi.org/10.31197/atnaa.318445.
EndNote
Gülyaz-özyurt S (September 1, 2017) On some alpha-admissible contraction mappings on Branciari b-metric spaces. Advances in the Theory of Nonlinear Analysis and its Application 1 1 1–13.
IEEE
[1]S. Gülyaz-özyurt, “On some alpha-admissible contraction mappings on Branciari b-metric spaces”, ATNAA, vol. 1, no. 1, pp. 1–13, Sept. 2017, doi: 10.31197/atnaa.318445.
ISNAD
Gülyaz-özyurt, Selma. “On Some Alpha-Admissible Contraction Mappings on Branciari B-Metric Spaces”. Advances in the Theory of Nonlinear Analysis and its Application 1/1 (September 1, 2017): 1-13. https://doi.org/10.31197/atnaa.318445.
JAMA
1.Gülyaz-özyurt S. On some alpha-admissible contraction mappings on Branciari b-metric spaces. ATNAA. 2017;1:1–13.
MLA
Gülyaz-özyurt, Selma. “On Some Alpha-Admissible Contraction Mappings on Branciari B-Metric Spaces”. Advances in the Theory of Nonlinear Analysis and Its Application, vol. 1, no. 1, Sept. 2017, pp. 1-13, doi:10.31197/atnaa.318445.
Vancouver
1.Selma Gülyaz-özyurt. On some alpha-admissible contraction mappings on Branciari b-metric spaces. ATNAA. 2017 Sep. 1;1(1):1-13. doi:10.31197/atnaa.318445

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