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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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., International Journal of Advanced Research (IJAR), 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

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References

  1. Agarwall R. P., Meehan M., O?Regan D., Fixed Point Theory and Applications, Cambridge University Press, 2001.
  2. Banach S., Sur less oprations dans les ensembles abstraits et leur applications aux equations integrates, Fund. Math. 3(1922), 133-181.
  3. Debnath L., Mikusinski P., Introduction to Hilbert Spaces with Applications, Elsevier, 2005.
  4. Franklin J., Methods of Mathematical Economics, Springer-Verlag, New York, 1980.
  5. Karoui A., On the Existence of Continuous Solutions of Nonlinear Integral Equations, Applied Mathematics Letters, 18(2005), 299-305.
  6. Mohensialhosseini S.A.M., Application of Fixed Point Theorem and Error Bounds, Open Access Library Journal, 1: e567(2014).
  7. Nazam M., Arshad M., On a Fixed Point Theorem with Application to Integral Equations, International Journal of Analysis, 2016, 1-7.
  8. Zeidler E., Nonlinear Functional Analysis and Its Applications I: Fixed-Point Theorems, Springer-Verlag, New York, 1986.
  9. http://users.math.uoc.gr/~pamfilos/Winter2013/Rosenzweig.pdf.

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