• 제목/요약/키워드: Metrically convex metric space

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CONVERGENCE THEOREM FOR A GENERALIZED 𝜑-WEAKLY CONTRACTIVE NONSELF MAPPING IN METRICALLY CONVEX METRIC SPACES

  • Kim, Kyung Soo
    • Nonlinear Functional Analysis and Applications
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    • 제26권3호
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    • pp.601-610
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    • 2021
  • 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.