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Best Proximity Point Theorems for Generalized α-Ψ-Proximal Contractions

机译：广义α-Ψ-近邻收缩的最佳邻近点定理

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摘要

In this paper, we introduce a new generalization of multivalued α-Ψ)-proximal contraction and prove some best proximity point theorems for such mappings on complete metric spaces. An example is also constructed to show the generality of our results.
机译：在本文中，我们介绍了多值α-Ψ）-近端压缩的新推广，并证明了在完整度量空间上进行此类映射的一些最佳邻近点定理。还构造了一个例子来说明我们结果的一般性。

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  • 来源
  • 会议地点 Ho Chi Minh City(VN)
  • 作者

    Muhammad Usman Ali; Arslan Hojat Ansari; Konrawut Khammahawong; Poom Kumam;

  • 作者单位

    Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan;

    Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran;

    KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand,KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand;

    KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand,KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Best proximity point; aα-Ψ-proximal contraction; (h, F, α, μ, Ψ)-proximal contraction; (h, F, α, β, μ, Ψ)-proximal contraction;

    机译：最佳邻近点； α-Ψ近端收缩; （h，F，α，μ，Ψ）-近端收缩； （h，F，α，β，μ，Ψ）-近端收缩;

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