• 제목/요약/키워드: covariant and contravariant mappings

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ON α-GERAGHTY CONTRACTIVE MAPPINGS IN BIPOLAR METRIC SPACES

  • Duangkamon Kitkuan;Anantachai Padcharoen;Jong Kyu Kim;Won Hee Lim
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.295-309
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    • 2023
  • In this paper, we introduce the notion of α-Geraghty contractive type covariant and contravariant mappings in the bipolar metric spaces. In addition, we prove some fixed point theorems, which give existence and uniqueness of fixed point, for α-Geraghty contractive type covariant and contravariant mappings in complete bipolar metric spaces. Finally, we show some examples to support our main results.