On the solution of a system of integral equations via matrix version of Banach contraction principle

Authors

  • Muhammad Usman Ali Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology H-12, Islamabad
  • Tayyab Kamran Department of Mathematics, Quaid-i-azam University, Islambad
  • Hassan Houmani Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042
  • Mihai Postolache Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042

DOI:

https://doi.org/10.26713/cma.v8i3.548

Keywords:

Generalized metric space, modular generalized metric space, modular metric space

Abstract

The purpose of this paper is to extend Perov's fixed point theorem in the setting of  modular generalized metric space, which is also establish in this article. Further we discuss the Perov's result in the setting of two modular generalized metric spaes. As an application we prove the existence of solution for a system of integral equations.

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References

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Published

30-12-2017
CITATION

How to Cite

Ali, M. U., Kamran, T., Houmani, H., & Postolache, M. (2017). On the solution of a system of integral equations via matrix version of Banach contraction principle. Communications in Mathematics and Applications, 8(3), 207–215. https://doi.org/10.26713/cma.v8i3.548

Issue

Vol. 8 No. 3 (2017)

Section

Research Article

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