Korean Journal of Mathematics

  • 제28권4호
  • /
  • Pages.915-929
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  • 2020
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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COMMON FIXED POINT OF GENERALIZED ASYMPTOTIC POINTWISE (QUASI-) NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

  • Saleh, Khairul (Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals) ;
  • Fukhar-ud-din, Hafiz (Department of Mathematics The Islamia University of Bahawalpur)
  • 투고 : 2018.04.16
  • 심사 : 2020.12.11
  • 발행 : 2020.12.30
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초록

We prove a fixed point theorem for generalized asymptotic pointwise nonexpansive mapping in the setting of a hyperbolic space. A one-step iterative scheme approximating common fixed point of two generalized asymptotic pointwise (quasi-) nonexpansive mappings in this setting is provided. We obtain ∆-convergence and strong convergence theorems of the iterative scheme for two generalized asymptotic pointwise nonexpansive mappings in the same setting. Our results generalize and extend some related results in the literature.

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과제정보

Khairul Saleh (H. Fukhar-ud-din) is grateful to King Fahd University of Petroleum & Minerals for supporting the research (research project IN141047).

참고문헌

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