Solution of variational inequality problems using monotone mapping

Abstract In this paper, a weak convergence theorem is proved to find out the solution of variational inequality problem for a mapping which is monotone as well as Lipschitz continuous in Hilbert space. This result can also be used to determine the solutions of constrained convex optimization and split feasibility problems.

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Publication Details

Journal
Analysis
Published
2026-03-26
DOI
https://doi.org/10.1515/anly-2025-0072
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Solution of variational inequality problems using monotone mapping

S. Kumar, Reena Morwal, Anita Kadian, Pradeep Kumar et al.
Analysis
Optimization and Variational Analysis
article

Solution of variational inequality problems using monotone mapping

S. Kumar, Reena Morwal, Anita Kadian, Pradeep Kumar, Anju Panwar
article en

Abstract

Abstract In this paper, a weak convergence theorem is proved to find out the solution of variational inequality problem for a mapping which is monotone as well as Lipschitz continuous in Hilbert space. This result can also be used to determine the solutions of constrained convex optimization and split feasibility problems.

Analysis
Pandit Bhagwat Dayal Sharma Post Graduate Institute of Medical Sciences (IN), North Eastern Hill University (IN), Government of Haryana (IN), Maharshi Dayanand University (IN)
Reduced inequalities
Openalex Percentile: Top 5%
Optimization and Variational Analysis
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Solution of variational inequality problems using monotone mapping — S. Kumar, Reena Morwal, et al. · Analysis (2026) | TGRS Research Map | TGRS