An iterative approach for addressing monotone inclusion and fixed point problems with generalized demimetric mappings

Throughout this study, we present a new algorithm for finding the common solution of a finite family of monotone inclusion and the fixed point problem of a finite family of generalized demimetric operators in the context of a real Hilbert space and show its strong convergence. Moreover, we utilize our result to solve the minimization problem.

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Publication Details

Journal
Partial Differential Equations in Applied Mathematics
Published
2024-10-14
DOI
https://doi.org/10.1016/j.padiff.2024.100953
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
0.00

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An iterative approach for addressing monotone inclusion and fixed point problems with generalized demimetric mappings

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Partial Differential Equations in Applied Mathematics
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An iterative approach for addressing monotone inclusion and fixed point problems with generalized demimetric mappings

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article en

Abstract

Throughout this study, we present a new algorithm for finding the common solution of a finite family of monotone inclusion and the fixed point problem of a finite family of generalized demimetric operators in the context of a real Hilbert space and show its strong convergence. Moreover, we utilize our result to solve the minimization problem.

Partial Differential Equations in Applied MathematicsVol. 12
University Grants Commission, Prince Sultan University
Reduced inequalities
Openalex Percentile: Top 79%
Optimization and Variational Analysis
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