Araştırma Makalesi
BibTex RIS Kaynak Göster

The Fixed Point Theorem and Characterization of Bipolar Metric Completeness

Yıl 2020, Cilt: 8 Sayı: 1, 137 - 143, 15.04.2020

Öz

In this article, we prove a fixed point theorem, which is generalization of Banach fixed point theorem and characterizes the metric completeness, for contravariant mapping on bipolar metric spaces. And, we give some results related to this fixed point theorem.

Kaynakça

  • [1] M. Abbas, B. Ali and C. Vetro, A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces, Topology and Its Applications, Vol:160, No.3, (2013), 553–563.
  • [2] M. Abbas, H. Iqbal and A. Petrusel, Fixed points for multivalued Suzuki type (q;R)-contraction mapping with applications, Journal of Function Spaces, Vol: 2019, Article ID 9565804, 13 pages, 2019. https://doi.org/10.1155/2019/9565804.
  • [3] N. Chandraa, M.C. Aryaa and Mahesh C. Joshia, A Suzuki-Type Common Fixed Point Theorem, Filomat, Vol:31, No.10 (2017), 2951–2956.
  • [4] L. Ciric, M. Abbas, M. Rajovic´ and B. Ali, Suzuki type fixed point theorems for generalized multi-valued mappings on a set endowed with two b-metrics, Applied Mathematics and Computation, Vol:219, No.4 (2012), 1712-1723.
  • [5] D. Doric, Z. Kadelburg and S. Radenovic, Edelstein-Suzuki-type fixed point results in metric spaces, Nonlinear Analysis: Theory, Methods and Applications, Vol:75, (2012), 1927–1932.
  • [6] A. Mutlu and U. Gurdal, Bipolar metric spaces and some fixed point theorems, Journal of Nonlinear Sciences and Applications, Vol:9, No.9 (2016), 5362–5373.
  • [7] A. Mutlu, K. Ozkan and U. Gurdal, Coupled Fixed Point Theorems on Bipolar Metric Spaces, European Journal of Pure and Applied Mathematics, Vol:10, No.4 (2017), 655–667.
  • [8] A. Mutlu, K. Ozkan and U. Gu¨rdal, Fixed point theorems for multivalued mappings on bipolar metric spaces, Fixed Point Theory, Vol: 21, No.1, (2020), 271–280.
  • [9] T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proceedings of the American Mathematical Society, Vol:136, (2008), 1861-1869.
  • [10] T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Analysis: Theory, Methods and Applications, Vol:71, No.11 (2009), 5313–5317.
  • [11] D. Paesano and P. Vetro, Suzuki’s type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology and Its Applications, Vol:159, No.3 (2012), 911–920.
Yıl 2020, Cilt: 8 Sayı: 1, 137 - 143, 15.04.2020

Öz

Kaynakça

  • [1] M. Abbas, B. Ali and C. Vetro, A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces, Topology and Its Applications, Vol:160, No.3, (2013), 553–563.
  • [2] M. Abbas, H. Iqbal and A. Petrusel, Fixed points for multivalued Suzuki type (q;R)-contraction mapping with applications, Journal of Function Spaces, Vol: 2019, Article ID 9565804, 13 pages, 2019. https://doi.org/10.1155/2019/9565804.
  • [3] N. Chandraa, M.C. Aryaa and Mahesh C. Joshia, A Suzuki-Type Common Fixed Point Theorem, Filomat, Vol:31, No.10 (2017), 2951–2956.
  • [4] L. Ciric, M. Abbas, M. Rajovic´ and B. Ali, Suzuki type fixed point theorems for generalized multi-valued mappings on a set endowed with two b-metrics, Applied Mathematics and Computation, Vol:219, No.4 (2012), 1712-1723.
  • [5] D. Doric, Z. Kadelburg and S. Radenovic, Edelstein-Suzuki-type fixed point results in metric spaces, Nonlinear Analysis: Theory, Methods and Applications, Vol:75, (2012), 1927–1932.
  • [6] A. Mutlu and U. Gurdal, Bipolar metric spaces and some fixed point theorems, Journal of Nonlinear Sciences and Applications, Vol:9, No.9 (2016), 5362–5373.
  • [7] A. Mutlu, K. Ozkan and U. Gurdal, Coupled Fixed Point Theorems on Bipolar Metric Spaces, European Journal of Pure and Applied Mathematics, Vol:10, No.4 (2017), 655–667.
  • [8] A. Mutlu, K. Ozkan and U. Gu¨rdal, Fixed point theorems for multivalued mappings on bipolar metric spaces, Fixed Point Theory, Vol: 21, No.1, (2020), 271–280.
  • [9] T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proceedings of the American Mathematical Society, Vol:136, (2008), 1861-1869.
  • [10] T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Analysis: Theory, Methods and Applications, Vol:71, No.11 (2009), 5313–5317.
  • [11] D. Paesano and P. Vetro, Suzuki’s type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology and Its Applications, Vol:159, No.3 (2012), 911–920.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Kübra Özkan

Utku Gürdal

Yayımlanma Tarihi 15 Nisan 2020
Gönderilme Tarihi 23 Ağustos 2019
Kabul Tarihi 2 Nisan 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 1

Kaynak Göster

APA Özkan, K., & Gürdal, U. (2020). The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp Journal of Mathematics, 8(1), 137-143.
AMA Özkan K, Gürdal U. The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp J. Math. Nisan 2020;8(1):137-143.
Chicago Özkan, Kübra, ve Utku Gürdal. “The Fixed Point Theorem and Characterization of Bipolar Metric Completeness”. Konuralp Journal of Mathematics 8, sy. 1 (Nisan 2020): 137-43.
EndNote Özkan K, Gürdal U (01 Nisan 2020) The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp Journal of Mathematics 8 1 137–143.
IEEE K. Özkan ve U. Gürdal, “The Fixed Point Theorem and Characterization of Bipolar Metric Completeness”, Konuralp J. Math., c. 8, sy. 1, ss. 137–143, 2020.
ISNAD Özkan, Kübra - Gürdal, Utku. “The Fixed Point Theorem and Characterization of Bipolar Metric Completeness”. Konuralp Journal of Mathematics 8/1 (Nisan 2020), 137-143.
JAMA Özkan K, Gürdal U. The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp J. Math. 2020;8:137–143.
MLA Özkan, Kübra ve Utku Gürdal. “The Fixed Point Theorem and Characterization of Bipolar Metric Completeness”. Konuralp Journal of Mathematics, c. 8, sy. 1, 2020, ss. 137-43.
Vancouver Özkan K, Gürdal U. The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp J. Math. 2020;8(1):137-43.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.