EN
A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces
Abstract
Recently, Wardowski in [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012] introduced the concept of $F$-contraction on complete metric space which is a proper generalization of Banach contraction principle. In the present paper, we proved a related fixed point theorem with $F$-contraction mappings on two complete metric spaces.
Keywords
References
- A. Aliouche and B. Fisher, A related fixed point theorem for two pairs of mappings on two complete metric spaces, Hacet. J. Math. Stat. 34, 39-45, 2005.
- I. Altun, G. Durmaz, G. Mınak and S. Romaguera, Multivalued almost $F$-contractions on complete metric spaces, Filomat 30 (2), 441-448, 2016.
- B. Fisher, Fixed points on two metric spaces, Glas. Mat. Ser. III 16 (36), 333-337, 1981.
- B. Fisher, Related fixed points on two metric spaces, Math. Sem. Notes Kobe Univ. 10, 17-26, 1982.
- B. Fisher, R.K. Jain and H.K. Sahu, Related fixed point theorems for three metric spaces, Novi Sad J. Math. 26 (1), 11-17, 1996.
- M. Imdad, R. Gubran, M. Arif and D. Gopal, An observation on $\alpha$-type $F$-contractions and some ordered-theoretic fixed point results, Math. Sci. 11 (3), 247-255, 2017.
- G. Mınak, A. Helvacı and I. Altun, Ciric type generalized $F$-contractions on complete metric spaces and fixed point results, Filomat 28 (6), 1143-1151, 2014.
- G. Mınak, M. Olgun and I. Altun, A new approach to fixed point theorems for multivalued contractive maps, Carpathian J. Math. 31 (2), 241-248, 2015.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
February 1, 2019
Submission Date
April 19, 2017
Acceptance Date
October 11, 2017
Published in Issue
Year 2019 Volume: 48 Number: 1
APA
Olgun, M., Biçer, Ö., Alyıldız, T., & Altun, İ. (2019). A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces. Hacettepe Journal of Mathematics and Statistics, 48(1), 150-156. https://izlik.org/JA95CD42GX
AMA
1.Olgun M, Biçer Ö, Alyıldız T, Altun İ. A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces. Hacettepe Journal of Mathematics and Statistics. 2019;48(1):150-156. https://izlik.org/JA95CD42GX
Chicago
Olgun, Murat, Özge Biçer, Tuğçe Alyıldız, and İshak Altun. 2019. “A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces”. Hacettepe Journal of Mathematics and Statistics 48 (1): 150-56. https://izlik.org/JA95CD42GX.
EndNote
Olgun M, Biçer Ö, Alyıldız T, Altun İ (February 1, 2019) A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces. Hacettepe Journal of Mathematics and Statistics 48 1 150–156.
IEEE
[1]M. Olgun, Ö. Biçer, T. Alyıldız, and İ. Altun, “A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 1, pp. 150–156, Feb. 2019, [Online]. Available: https://izlik.org/JA95CD42GX
ISNAD
Olgun, Murat - Biçer, Özge - Alyıldız, Tuğçe - Altun, İshak. “A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces”. Hacettepe Journal of Mathematics and Statistics 48/1 (February 1, 2019): 150-156. https://izlik.org/JA95CD42GX.
JAMA
1.Olgun M, Biçer Ö, Alyıldız T, Altun İ. A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces. Hacettepe Journal of Mathematics and Statistics. 2019;48:150–156.
MLA
Olgun, Murat, et al. “A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 1, Feb. 2019, pp. 150-6, https://izlik.org/JA95CD42GX.
Vancouver
1.Murat Olgun, Özge Biçer, Tuğçe Alyıldız, İshak Altun. A Related Fixed Point Theorem for $F$-Contractions on Two Metric Spaces. Hacettepe Journal of Mathematics and Statistics [Internet]. 2019 Feb. 1;48(1):150-6. Available from: https://izlik.org/JA95CD42GX