Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Accelerated Tseng's Technique to Solve Cayley Inclusion Problem in Hilbert Spaces

  • Shamshad, Husain (Department of Applied Mathematics, Aligarh Muslim University) ;
  • Uqba, Rafat (Department of Applied Mathematics, Aligarh Muslim University)
  • Received : 2021.12.02
  • Accepted : 2022.04.08
  • Published : 2022.12.31
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Abstract

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.

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References

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