Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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CONVERGENCE THEOREM FOR A GENERALIZED 𝜑-WEAKLY CONTRACTIVE NONSELF MAPPING IN METRICALLY CONVEX METRIC SPACES

  • Kim, Kyung Soo (Department of Mathematics Education, Kyungnam University)
  • Received : 2020.12.30
  • Accepted : 2021.03.15
  • Published : 2021.09.15
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Abstract

A convergence theorem for a generalized 𝜑-weakly contractive mapping is proved which satisfy a generalized contraction condition on a complete metrically convex metric space. The result in this paper generalizes the relevant results due to Rhoades [18], Alber and Guerre-Delabriere [1], Khan and Imdad [14], Xue [20] and others. An illustrative example is also furnished in support of our main result.

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Acknowledgement

The author would like to thank the referees for their valuable comments and suggestions which improved the presentation of this paper. This work was supported by Kyungnam University Foundation Grant, 2020.

References

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