Approximate Common Solutions for a Family of Inverse Strongly Monotone Mappings

In 2003 W. Takahashi and M. Toyoda showed the weak convergence of an iteration process of finding the solution of a variational inequality problem for an inverse strongly monotone mapping. In the present paper, we show that for the same process, most of its iterates are approximate common solutions for a finite family of variational inequalities induced by inverse strongly monotone mappings.

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Journal
Axioms
Published
2025-12-01
DOI
https://doi.org/10.3390/axioms14120893
Citations
1
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
1.50
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article

Approximate Common Solutions for a Family of Inverse Strongly Monotone Mappings

Alexander J. Zaslavski
1 citations
Axioms
Optimization and Variational Analysis
1.50
article

Approximate Common Solutions for a Family of Inverse Strongly Monotone Mappings

Alexander J. Zaslavski
article en
1 citations

Abstract

In 2003 W. Takahashi and M. Toyoda showed the weak convergence of an iteration process of finding the solution of a variational inequality problem for an inverse strongly monotone mapping. In the present paper, we show that for the same process, most of its iterates are approximate common solutions for a finite family of variational inequalities induced by inverse strongly monotone mappings.

AxiomsVol. 14(12)
Technion – Israel Institute of Technology (IL)
Openalex Percentile: Top 11%
Optimization and Variational Analysis
1.50
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Approximate Common Solutions for a Family of Inverse Strongly Monotone Mappings — Alexander J. Zaslavski · Axioms (2025) | TGRS Research Map | TGRS