Research Article

On some problems regarding set valued (α,ψ)-F-contractions

Volume: 68 Number: 2 August 1, 2019
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

  1. 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.
  2. 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.
  3. 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.
  4. Altun, I., Sola, F. and Simsek, H., Generalized contractions on partial metric spaces, Topology Appl. 157 (2010), 2778-2785.
  5. 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.
  6. Altun, I., Minak, G. and Dag, H., Multivalued F-Contractions On Complete Metric Space, J. Nonlinear Convex Anal. 16 (2015), 659-666.
  7. 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.
  8. 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

Cited By

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

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