Research Article

Generalization of (α-F_{d})--contraction on quasi--metric space

Volume: 68 Number: 1 February 1, 2019
  • Özlem Acar
EN

Generalization of (α-F_{d})--contraction on quasi--metric space

Abstract

In this paper, we introduce the concept of generalized (α-F_{d})-contraction and give some fixed point results in quasi metric spaces with different types of completeness.

Keywords

References

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  2. Cosentino,M., Vetro, P., Fixed point results for F-contractive mappings of Hardy-Rogers-type, Filomat, 28 (2014), 715--722.
  3. Hussain, N., Vetro,C., Vetro,F., Fixed point results for α-implicit contractions with application to integral equations, Nonlinear Anal. Model. Control, 21 (2016), 362--378.
  4. Karapınar, E., Samet, B., Generalized α-ψ-contractive type mappings and related fixed point theorems with applications, Abstr. Appl. Anal., 2012 (2012), 17 pages.
  5. Kumam, P., Vetro, C., Vetro, F., Fixed points for weak α-ψ-contractions in partial metric spaces, Abstr. Appl. Anal., 2013 (2013), 9 pages.
  6. Künzi, H.P. A., Vajner, V., Weighted quasi-metrics, Ann. New York Acad. Sci., 728 (1994), 64--67.
  7. Mınak, G., Olgun, M., Altun, I., A new approach to fixed point theorems for multivalued contractive maps, Carpathian J. Math., 31 (2015), 241--248.
  8. Reilly, I. L., Subrahmanyam, P. V., Vamanamurthy, M. K., Cauchy sequences in quasi- pseudo-metric spaces, Monatsh. Math., 93 (1982), 127--140. 1.1, 1, 1.2,

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

May 31, 2017

Acceptance Date

July 13, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Acar, Ö. (2019). Generalization of (α-F_{d})--contraction on quasi--metric space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 35-42. https://doi.org/10.31801/cfsuasmas.443587
AMA
1.Acar Ö. Generalization of (α-F_{d})--contraction on quasi--metric space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):35-42. doi:10.31801/cfsuasmas.443587
Chicago
Acar, Özlem. 2019. “Generalization of (α-F_{d})--Contraction on Quasi--Metric Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 35-42. https://doi.org/10.31801/cfsuasmas.443587.
EndNote
Acar Ö (February 1, 2019) Generalization of (α-F_{d})--contraction on quasi--metric space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 35–42.
IEEE
[1]Ö. Acar, “Generalization of (α-F_{d})--contraction on quasi--metric space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 35–42, Feb. 2019, doi: 10.31801/cfsuasmas.443587.
ISNAD
Acar, Özlem. “Generalization of (α-F_{d})--Contraction on Quasi--Metric Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 35-42. https://doi.org/10.31801/cfsuasmas.443587.
JAMA
1.Acar Ö. Generalization of (α-F_{d})--contraction on quasi--metric space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:35–42.
MLA
Acar, Özlem. “Generalization of (α-F_{d})--Contraction on Quasi--Metric Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 35-42, doi:10.31801/cfsuasmas.443587.
Vancouver
1.Özlem Acar. Generalization of (α-F_{d})--contraction on quasi--metric space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):35-42. doi:10.31801/cfsuasmas.443587

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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