EN
On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces
Abstract
TThe work of non-Newtonian calculus was begun in 1972. This calculus provides a different area to the classical one. Non-Newtonian metric concept was defined in 2002 by Basar and Cakmak. Then Binbaşıoğlu et al. had given the metric spaces of non-Newtonian in 2016. Also, they started to the fixed-point theory by defining some topological properties in non-Newtonian metric spaces.
In this work, we give some fixed-point theorems and results for self-mappings satisfying certain conditions in the non-Newtonian metric spaces.
In this work, we give some fixed-point theorems and results for self-mappings satisfying certain conditions in the non-Newtonian metric spaces.
Keywords
References
- [1] Alar R., Yigit Dakmaz E., Sola Erduran F., Gezici A., On Soft Fuzzy Metric Spaces and Topological Structure, Journal of Advanced Studies in Topology, 9 (2018) 61-70.
- [2] Aslantas M., Some Best Proximity Point Results via a New Family of F-Contraction and an Application to Homotopy Theory, Journal of Fixed Point Theory and Applications, 23 (4) (2021).
- [3] Aslantas M., Sahin H., Sadullah U., Some Generalizations for Mixed Multivalued Mappings, Applied General Topology, 23 (1) (2022) 169-178.
- [4] Aslantas M., Sahin H., Turkoglu D., Some Caristi Type Fixed-Point Theorems, The Journal of Analysis, 29 (2021) 89-103.
- [5] Binbasioglu D., Demiriz S., Turkoglu D., Fixed-Points of non-Newtonian Metric Spaces, J. Fixed Point Theory Appl., 18 (2016) 213-224.
- [6] Cakmak A. F., Basar F., Some New Results on Sequence Spaces with respect to non-Newtonian Calculus, J. Inequal. Appl., 2012 (2012) 228.
- [7] Cevik C., Altun I., Sahin H., Ozeken C. C., Some Fixed-Point Theorems for Contractive Mapping in Ordered Vector Metric Spaces, Journal of Nonlinear Sciences and Applications, 10 (4) (2017) 1424.1432.
- [8] Choudhary B., Nanda S., Functional Analysis with Applications. Newyork: John Wiley and Sons, (1990).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
June 29, 2022
Submission Date
October 11, 2021
Acceptance Date
April 19, 2022
Published in Issue
Year 2022 Volume: 43 Number: 2
APA
Binbaşıoğlu, D. (2022). On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces. Cumhuriyet Science Journal, 43(2), 289-293. https://doi.org/10.17776/csj.1007806
AMA
1.Binbaşıoğlu D. On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces. CSJ. 2022;43(2):289-293. doi:10.17776/csj.1007806
Chicago
Binbaşıoğlu, Demet. 2022. “On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces”. Cumhuriyet Science Journal 43 (2): 289-93. https://doi.org/10.17776/csj.1007806.
EndNote
Binbaşıoğlu D (June 1, 2022) On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces. Cumhuriyet Science Journal 43 2 289–293.
IEEE
[1]D. Binbaşıoğlu, “On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces”, CSJ, vol. 43, no. 2, pp. 289–293, June 2022, doi: 10.17776/csj.1007806.
ISNAD
Binbaşıoğlu, Demet. “On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces”. Cumhuriyet Science Journal 43/2 (June 1, 2022): 289-293. https://doi.org/10.17776/csj.1007806.
JAMA
1.Binbaşıoğlu D. On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces. CSJ. 2022;43:289–293.
MLA
Binbaşıoğlu, Demet. “On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces”. Cumhuriyet Science Journal, vol. 43, no. 2, June 2022, pp. 289-93, doi:10.17776/csj.1007806.
Vancouver
1.Demet Binbaşıoğlu. On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces. CSJ. 2022 Jun. 1;43(2):289-93. doi:10.17776/csj.1007806
Cited By
Basic Properties of Tempered ν-Sequence Spaces
GAZI UNIVERSITY JOURNAL OF SCIENCE
https://doi.org/10.35378/gujs.1403424