Vol. 6 (03) pp. 494-500 DOI: 10.21474/IJAR01/6697

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SYSTEM OF LINEAR EQUATIONS AND INTEGRAL EQUATIONS USING BANACH FIXED-POINT THEOREM.

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  • Department of Mathematics, University of Dhaka, Dhaka-1000.
  • Department of Mathematics, Jessore University of Science & Technology, Jessore-7408.
  • Department of General Educational Development, Daffodil International University, Dhaka-1000.
  • Department of Computer Science and Engineering, Dhaka International University, Dhaka-1000.
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Abstract

In this paper, using Banach fixed-point theorem, we study the existence and uniqueness of solution for a system of linear equations. Further, we prove the existence and uniqueness of the continuous solutions of linear and non-linear Fredholm integral equations over the Banach space . Our claim is also illustrated with the applications to respective examples for proving the existence results.

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References

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How to Cite This Article

Razina Ferdausi, Akram Hossain, Mehedi Hasan and Ashraful Islam. (2018); EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SYSTEM OF LINEAR EQUATIONS AND INTEGRAL EQUATIONS USING BANACH FIXED-POINT THEOREM., Int. J. of Adv. Res., 6 (03), 494-500, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/6697

Corresponding Author

Md. Akram Hossain
Department of Mathematics, Jessore University of Science & Technology
Creative Commons Attribution 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.