Scholarlink

<p>In this article, we propose a theoretical framework for solving split monotone variational inclusion problems (SMVIP) involving maximal monotone operators and split common fixed point problem (SCFPP) associated with a finite family of demimetric mappings in Hilbert spaces. Within this framework, we employ inertial, Tikhonov regularization and viscosity approximation techniques to develop an iterative algorithm for computing solutions to the SMVIP and SCFPP under suitable control conditions. The effectiveness of the proposed algorithm is established through rigorous convergence analysis and numerical experiments, including real-world applications. Moreover, we demonstrate the advantages of the proposed algorithm over classical algorithms for solving SMVIP and SCFPP. The results presented herein extend and unify several existing works in the literature.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

An inertia based viscosity type regularized splitting scheme for finding common solutions of split monotone variational inclusion and fixed point problems

  • 期刊论文

  • 发表日期：

    2026年3月14日

查看全文
  • Yasir Arfat,
  • Olaniyi S. Iyiola,
  • Madushi Wickramasinghe,
  • Poom Kumam,
  • Muhammad Aqeel Ahmad Khan

摘要

In this article, we propose a theoretical framework for solving split monotone variational inclusion problems (SMVIP) involving maximal monotone operators and split common fixed point problem (SCFPP) associated with a finite family of demimetric mappings in Hilbert spaces. Within this framework, we employ inertial, Tikhonov regularization and viscosity approximation techniques to develop an iterative algorithm for computing solutions to the SMVIP and SCFPP under suitable control conditions. The effectiveness of the proposed algorithm is established through rigorous convergence analysis and numerical experiments, including real-world applications. Moreover, we demonstrate the advantages of the proposed algorithm over classical algorithms for solving SMVIP and SCFPP. The results presented herein extend and unify several existing works in the literature.