Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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EXISTENCE AND UNIQUENESS OF FIXED POINT OF SOME EXPANSIVE-TYPE MAPPINGS IN GENERALIZED MODULAR METRIC SPACES

  • Godwin Amechi Okeke (Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri) ;
  • Daniel Francis (Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri) ;
  • Jong Kyu Kim (Department of Mathematics Education, Kyungnam University)
  • Received : 2023.03.03
  • Accepted : 2023.07.29
  • Published : 2023.12.15
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Abstract

We define new classes of expansive-type mappings in the setting of modular 𝜔G-metric spaces and prove the existence of common unique fixed point for these classes of expansive-type mappings on 𝜔G-complete modular 𝜔G-metric spaces. The results established in this paper extend, improve, generalize and compliment many existing results in literature. We produce some examples to validate our results.

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References

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