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<p>In this paper, we proposed a modified Tseng’s splitting iterative algorithm for approximating a solution of split feasibility problem for zero and fixed point problems. By incorporating an inertial extrapolation method and Halpern iterative technique, we established a strong convergence result for approximating a solution of split fixed point problem for a nonexpansive and quasinonexpansive mapping which is also a zero point of sum of two monotone operators in the framework of real Hilbert spaces. Furthermore, we present a numerical example to support our main result. The results obtained in this paper improve, extend and unify some related results in the literature.</p>

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An accelerated Tseng type method for solving zero point problems and certain optimization problems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月9日

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  • A. A. Mebawondu,
  • H. A. Abass,
  • O. K. Oyewole

摘要

In this paper, we proposed a modified Tseng’s splitting iterative algorithm for approximating a solution of split feasibility problem for zero and fixed point problems. By incorporating an inertial extrapolation method and Halpern iterative technique, we established a strong convergence result for approximating a solution of split fixed point problem for a nonexpansive and quasinonexpansive mapping which is also a zero point of sum of two monotone operators in the framework of real Hilbert spaces. Furthermore, we present a numerical example to support our main result. The results obtained in this paper improve, extend and unify some related results in the literature.