• Title/Summary/Keyword: Cayley inclusion problem

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Accelerated Tseng's Technique to Solve Cayley Inclusion Problem in Hilbert Spaces

  • Shamshad, Husain;Uqba, Rafat
    • Kyungpook Mathematical Journal
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    • v.62 no.4
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    • pp.673-687
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    • 2022
  • In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.

Algorithm of Common Solutions to the Cayley Inclusion and Fixed Point Problems

  • Dar, Aadil Hussain;Ahmad, Mohammad Kalimuddin;Iqbal, Javid;Mir, Waseem Ali
    • Kyungpook Mathematical Journal
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    • v.61 no.2
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    • pp.257-267
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    • 2021
  • In this paper, we develop an iterative algorithm for obtaining common solutions to the Cayley inclusion problem and the set of fixed points of a non-expansive mapping in Hilbert spaces. A numerical example is given for the justification of our claim.