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Some Coupled Fixed Point Theorems for F-Contraction Mappings

Year 2020, Volume: 13 Issue: ÖZEL SAYI I, 97 - 105, 28.02.2020
https://doi.org/10.18185/erzifbed.637670

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.

F-Büzülme Dönüşümleri için Bazı İkili Sabit Nokta Teoremleri

Year 2020, Volume: 13 Issue: ÖZEL SAYI I, 97 - 105, 28.02.2020
https://doi.org/10.18185/erzifbed.637670

Abstract

Bu çalışmada, tam metrik uzaylarda F-büzülme dönüşümleri için bazı ikili
sabit nokta teoremleri ispatlanmıştır. Ayrıca, bu teoremlerle ilgili bazı
sonuçlar verilmiştir.

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

Kübra Özkan 0000-0002-8014-1713

Publication Date February 28, 2020
Published in Issue Year 2020 Volume: 13 Issue: ÖZEL SAYI I

Cite

APA Özkan, K. (2020). Some Coupled Fixed Point Theorems for F-Contraction Mappings. Erzincan University Journal of Science and Technology, 13(ÖZEL SAYI I), 97-105. https://doi.org/10.18185/erzifbed.637670