Algorithmic and Analytical Approach for a System of Generalized Multi-valued Resolvent Equations- Part II: Algorithms and Convergence

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Abstract

The concept of resolvent operator associated with a P-Η-accretive mapping is used in constructing of a new iterative algorithm for solving a new system of generalized multi-valued resolvent equations in the framework of Banach spaces. The convergence analysis of the sequences generated by our proposed iterative algorithm under some appropriate conditions is studied. The results presented in this paper are new, and improve and generalize many known corresponding results.

Original languageEnglish
Pages (from-to)771-784
Number of pages14
JournalCarpathian Journal of Mathematics
Volume41
Issue number3
DOIs
StatePublished - 2025

Bibliographical note

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Keywords

  • Convergence analysis
  • Iterative algorithm
  • Resolvent operator
  • System of generalized multi-valued resolvent equations
  • System of generalized variational inclusions

ASJC Scopus subject areas

  • General Mathematics

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