Fixed point theorem for Nonlinear $\theta-\phi-$contraction via $w-$distance

Authors

  • Mohamed Rossafi Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,
  • Abdelkarim Kari

DOI:

https://doi.org/10.20956/j.v19i1.20866

Keywords:

Fixed point, Nonlinear $\theta-\phi-$contraction, $w-$distance, ntegral equation.

Abstract

This paper is aimed to the notion of $\theta-\phi-$contraction defined on a metric space with $w-$distance. Moreover, fixed point theorems are given in this framework. Some illustrative examples are provided to advocate the usability of our results.
As an application, we prove the existence and uniqueness of a solution for the nonlinear Fredholm integral equations.

References

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Published

2022-09-07

How to Cite

Rossafi, M., & Kari, A. (2022). Fixed point theorem for Nonlinear $\theta-\phi-$contraction via $w-$distance. Jurnal Matematika, Statistika Dan Komputasi, 19(1), 1–18. https://doi.org/10.20956/j.v19i1.20866

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Research Articles

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