Research Article
Year 2020,
Volume: 13 Issue: ÖZEL SAYI I, 97 - 105, 28.02.2020
Abstract
In this paper, some coupled fixed point theorems for F-contraction mappings
in complete metric spaces are proved. In addition, some results related to
these theorems are given.
References
- Abbas, M., Ali B. and Romaguera, S. 2013. “Fixed and periodic points of generalized contractions in metric spaces”, Fixed Point Theory Appl., 2013, Art. No. 243.
- Altun, I., Minak, G. and Dag, H. 2015. “Multivalued F-contractions on complete metric spaces”, J. Nonlinear Convex Anal. 16(4), 659-666.
- Batra, R. and Vashistha S. 2014. “Fixed points of an F-contraction on metric spaces with a graph”, International Journal of Computer Mathematics, 91:12, 2483-2490.
- Bhaskar, T.G. and Lakshmikantham, V. 2006. “Fixed point theorems in partially ordered metric spaces and applications”, Nonlinear Anal. 65, 1379-1393.
- Cosentino, M. and Vetro, P. 2014. “Fixed point results for F-contractive mappings of Hardy-Rogers-type”, Filomat, 28(4), 715-722.
- Guo, D. and Lakshmikantham. V. 1987. “Coupled fixed points of nonlinear operators with applications”, Nonlinear Anal., 11, 623-632.
- Mutlu, A., Özkan, K. and Gürdal, U. 2017. “Coupled Fixed Point Theorems on Bipolar Metric Spaces”, European Journal of Pure and Applied Mathematics, 10(4), 655-667.
- Mutlu, A., Özkan, K. and Gürdal, U. 2018. “Coupled fixed point theorem in partially ordered modular metric spaces and its an application”, J. Comput. Anal. Appl., 25(2), 1-10.
- Piri, H. and Kumam, P. 2014. “Some fixed point theorems concerning -contraction in complete metric spaces”, Fixed Point Theory Appl., 2014, Article ID 210 (2014).
- Sabetghadam, F., Masiha, H.P. and Sanatpour, A.H. 2009. “Some coupled fixed point theorems in cone metric spaces”, Fixed Point Theory Appl., 2009(1), 125426.
- Samet, B. 2010. “Coupled fixed point theorems for a generalized Meir–Keeler contraction in partially ordered metric spaces”, Nonlinear Analysis: Theory, Methods & Applications, 72(12), 4508-4517.
- Van Luong, N. and Thuan, N.X. 2011. “Coupled fixed points in partially ordered metric spaces and application”, Nonlinear Analysis: Theory, Methods & Applications, 74(3), 983-992.
- Wardowski, D. 2012. “Fixed point theory of a new type of contractive mappings in complete metric spaces”, Fixed Point Theory Appl., 2012, Article ID 94.
Year 2020,
Volume: 13 Issue: ÖZEL SAYI I, 97 - 105, 28.02.2020
Abstract
Bu çalışmada, tam metrik uzaylarda F-büzülme dönüşümleri için bazı ikili
sabit nokta teoremleri ispatlanmıştır. Ayrıca, bu teoremlerle ilgili bazı
sonuçlar verilmiştir.
Keywords
References
- Abbas, M., Ali B. and Romaguera, S. 2013. “Fixed and periodic points of generalized contractions in metric spaces”, Fixed Point Theory Appl., 2013, Art. No. 243.
- Altun, I., Minak, G. and Dag, H. 2015. “Multivalued F-contractions on complete metric spaces”, J. Nonlinear Convex Anal. 16(4), 659-666.
- Batra, R. and Vashistha S. 2014. “Fixed points of an F-contraction on metric spaces with a graph”, International Journal of Computer Mathematics, 91:12, 2483-2490.
- Bhaskar, T.G. and Lakshmikantham, V. 2006. “Fixed point theorems in partially ordered metric spaces and applications”, Nonlinear Anal. 65, 1379-1393.
- Cosentino, M. and Vetro, P. 2014. “Fixed point results for F-contractive mappings of Hardy-Rogers-type”, Filomat, 28(4), 715-722.
- Guo, D. and Lakshmikantham. V. 1987. “Coupled fixed points of nonlinear operators with applications”, Nonlinear Anal., 11, 623-632.
- Mutlu, A., Özkan, K. and Gürdal, U. 2017. “Coupled Fixed Point Theorems on Bipolar Metric Spaces”, European Journal of Pure and Applied Mathematics, 10(4), 655-667.
- Mutlu, A., Özkan, K. and Gürdal, U. 2018. “Coupled fixed point theorem in partially ordered modular metric spaces and its an application”, J. Comput. Anal. Appl., 25(2), 1-10.
- Piri, H. and Kumam, P. 2014. “Some fixed point theorems concerning -contraction in complete metric spaces”, Fixed Point Theory Appl., 2014, Article ID 210 (2014).
- Sabetghadam, F., Masiha, H.P. and Sanatpour, A.H. 2009. “Some coupled fixed point theorems in cone metric spaces”, Fixed Point Theory Appl., 2009(1), 125426.
- Samet, B. 2010. “Coupled fixed point theorems for a generalized Meir–Keeler contraction in partially ordered metric spaces”, Nonlinear Analysis: Theory, Methods & Applications, 72(12), 4508-4517.
- Van Luong, N. and Thuan, N.X. 2011. “Coupled fixed points in partially ordered metric spaces and application”, Nonlinear Analysis: Theory, Methods & Applications, 74(3), 983-992.
- Wardowski, D. 2012. “Fixed point theory of a new type of contractive mappings in complete metric spaces”, Fixed Point Theory Appl., 2012, Article ID 94.
There are 13 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Makaleler |
| Authors | |
| Publication Date | February 28, 2020 |
| Published in Issue | Year 2020 Volume: 13 Issue: ÖZEL SAYI I |