EN
On some problems regarding set valued (α,ψ)-F-contractions
Abstract
In this paper, we introduce set valued (α,ψ) F-contraction mappings in the setting of a partial metric space. We obtain some common fixed point theorems for a pair of these mappings. These results generalize several recent results existing in the current literature.
Keywords
References
- Abbas, M., Nazir, T. and Romaguera, S., Fixed point results for generalized cyclic contraction mappings in partial metric spaces, RACSAM- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas, 106 (2012), 287-297.
- Abdeljawad, T., Karapinar, E. and Tas, K., Existence and uniqueness of a common fixed point on partial metric spaces, Appl. Math. Lett. 24 (2011), 1900-1904.
- Al-Rawashdeh, A., Aydi, H., Felhi, Sahmim, A. S. and Shatanawi, W., On common fixed points for α-F-contractions and applications, J. Nonlinear Sci. Appl. 9 (5) (2016), 3445--3458.
- Altun, I., Sola, F. and Simsek, H., Generalized contractions on partial metric spaces, Topology Appl. 157 (2010), 2778-2785.
- Altun, I. and Romaguera, S., Characterizations of partial metric completeness in terms of weakly contractive mappings having fixed point, Applicable Analysis and Discrete Mathematics, 6 (2012), 247-256.
- Altun, I., Minak, G. and Dag, H., Multivalued F-Contractions On Complete Metric Space, J. Nonlinear Convex Anal. 16 (2015), 659-666.
- Aydi, H., Abbas, M. and Vetro, C., Partial Hausdorff metric and Nadler's fixed point theorem on partial metric spaces, Topology Appl.159 (2012), 3234-3242.
- Aydi, H., Abbas, M. andVetro, C., Common Fixed points for multivalued generalized contractions on partial metric spaces, RACSAM - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas, 108 (2014), 483-501.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
August 1, 2019
Submission Date
April 2, 2018
Acceptance Date
June 17, 2018
Published in Issue
Year 2019 Volume: 68 Number: 2
APA
Nazam, M., Aydi, H., & Arshad, M. (2019). On some problems regarding set valued (α,ψ)-F-contractions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1240-1255. https://doi.org/10.31801/cfsuasmas.516595
AMA
1.Nazam M, Aydi H, Arshad M. On some problems regarding set valued (α,ψ)-F-contractions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1240-1255. doi:10.31801/cfsuasmas.516595
Chicago
Nazam, Muhammad, Hassen Aydi, and Muhammad Arshad. 2019. “On Some Problems Regarding Set Valued (α,ψ)-F-Contractions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1240-55. https://doi.org/10.31801/cfsuasmas.516595.
EndNote
Nazam M, Aydi H, Arshad M (August 1, 2019) On some problems regarding set valued (α,ψ)-F-contractions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1240–1255.
IEEE
[1]M. Nazam, H. Aydi, and M. Arshad, “On some problems regarding set valued (α,ψ)-F-contractions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1240–1255, Aug. 2019, doi: 10.31801/cfsuasmas.516595.
ISNAD
Nazam, Muhammad - Aydi, Hassen - Arshad, Muhammad. “On Some Problems Regarding Set Valued (α,ψ)-F-Contractions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1240-1255. https://doi.org/10.31801/cfsuasmas.516595.
JAMA
1.Nazam M, Aydi H, Arshad M. On some problems regarding set valued (α,ψ)-F-contractions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1240–1255.
MLA
Nazam, Muhammad, et al. “On Some Problems Regarding Set Valued (α,ψ)-F-Contractions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1240-55, doi:10.31801/cfsuasmas.516595.
Vancouver
1.Muhammad Nazam, Hassen Aydi, Muhammad Arshad. On some problems regarding set valued (α,ψ)-F-contractions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1240-55. doi:10.31801/cfsuasmas.516595
