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Some Coupled Fixed Point Theorems for F-Contraction Mappings

Yıl 2020, Cilt: 13 Sayı: ÖZEL SAYI I, 97 - 105, 28.02.2020
https://doi.org/10.18185/erzifbed.637670

Öz

 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.

Kaynakça

  • 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

Yıl 2020, Cilt: 13 Sayı: ÖZEL SAYI I, 97 - 105, 28.02.2020
https://doi.org/10.18185/erzifbed.637670

Öz

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

Kaynakça

  • 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.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Kübra Özkan 0000-0002-8014-1713

Yayımlanma Tarihi 28 Şubat 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 13 Sayı: ÖZEL SAYI I

Kaynak Göster

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