• Title/Summary/Keyword: orbitally continuous

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SOME RESULTS ON A NONUNIQUE FIXED POINT

  • Hao, Jinbiao;Lee, Suk-Jin
    • East Asian mathematical journal
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    • v.18 no.1
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    • pp.43-50
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    • 2002
  • In this paper, we obtain some nonunique fixed point theorems of single valued and multivalued maps in metric and generalized metric spaces, one of which generalized the corresponding results of [5] and [6].

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SOME BEST PROXIMITY POINT RESULTS OF SEVERAL 𝛼-𝜓 INTERPOLATIVE PROXIMAL CONTRACTIONS

  • Deng, Jia;Liu, Xiao-lan;Sun, Yan;Rathour, Laxmi
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.3
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    • pp.533-551
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    • 2022
  • In this paper, we introduce several types 𝛼-𝜓 interpolative proximal contractions and provide some sufficient conditions to prove the existence of best proximity points for these contractions in metric spaces. In the case of proximal contraction of the first kind, these metric spaces are not necessarily complete. Meanwhile, some new results can derive from our results. Finally, some examples are provided to show the validity of our results.