Research Article

The Fixed Point Theorem and Characterization of Bipolar Metric Completeness

Volume: 8 Number: 1 April 15, 2020
EN

The Fixed Point Theorem and Characterization of Bipolar Metric Completeness

Abstract

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.

Keywords

References

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  4. [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.
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  6. [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. [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. [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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

April 15, 2020

Submission Date

August 23, 2019

Acceptance Date

April 2, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

APA
Özkan, K., & Gürdal, U. (2020). The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp Journal of Mathematics, 8(1), 137-143. https://izlik.org/JA49FR34NB
AMA
1.Özkan K, Gürdal U. The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp J. Math. 2020;8(1):137-143. https://izlik.org/JA49FR34NB
Chicago
Özkan, Kübra, and Utku Gürdal. 2020. “The Fixed Point Theorem and Characterization of Bipolar Metric Completeness”. Konuralp Journal of Mathematics 8 (1): 137-43. https://izlik.org/JA49FR34NB.
EndNote
Özkan K, Gürdal U (April 1, 2020) The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp Journal of Mathematics 8 1 137–143.
IEEE
[1]K. Özkan and U. Gürdal, “The Fixed Point Theorem and Characterization of Bipolar Metric Completeness”, Konuralp J. Math., vol. 8, no. 1, pp. 137–143, Apr. 2020, [Online]. Available: https://izlik.org/JA49FR34NB
ISNAD
Özkan, Kübra - Gürdal, Utku. “The Fixed Point Theorem and Characterization of Bipolar Metric Completeness”. Konuralp Journal of Mathematics 8/1 (April 1, 2020): 137-143. https://izlik.org/JA49FR34NB.
JAMA
1.Özkan K, Gürdal U. The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp J. Math. 2020;8:137–143.
MLA
Özkan, Kübra, and Utku Gürdal. “The Fixed Point Theorem and Characterization of Bipolar Metric Completeness”. Konuralp Journal of Mathematics, vol. 8, no. 1, Apr. 2020, pp. 137-43, https://izlik.org/JA49FR34NB.
Vancouver
1.Kübra Özkan, Utku Gürdal. The Fixed Point Theorem and Characterization of Bipolar Metric Completeness. Konuralp J. Math. [Internet]. 2020 Apr. 1;8(1):137-43. Available from: https://izlik.org/JA49FR34NB
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