What question did this study set out to answer?

The research aims to develop an efficient method to solve stochastic optimization problems framed as stochastic variational inequalities with quasi-monotone operators.

December 11, 2025AxiomsOpen Access

On Quasi-Monotone Stochastic Variational Inequalities with Applications

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Authors

MDMohammad DilshadPrincess Nourah bint Abdulrahman University IAIbrahim Al-DayelImam Mohammad ibn Saud Islamic University FNFrancis O. NwawuruChukwuemeka Odumegwu Ojukwu University

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Implication

This approach demonstrates improved convergence in stochastic optimization problems, highlighting adaptive stepsizes and low computational complexity.

Key Points

The research aims to develop an efficient method to solve stochastic optimization problems framed as stochastic variational inequalities with quasi-monotone operators.
Proposed method uses an adaptive stepsize that adjusts automatically without needing a linesearch.
Includes a momentum term to enhance convergence speed.
Requires only a single projection onto the feasible set in each iteration, minimizing computational cost.
Algorithm achieves almost sure convergence under standard assumptions.
Proven convergence rate is established.
Numerical experiments reveal superior performance compared to existing stochastic approximation methods.

Cite This Study

Dilshad et al. (2025) studied this question.

synapsesocial.com/papers/69401b172d562116f28f72fd https://doi.org/10.3390/axioms14120912

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Implication

This approach demonstrates improved convergence in stochastic optimization problems, highlighting adaptive stepsizes and low computational complexity.

On Quasi-Monotone Stochastic Variational Inequalities with Applications

Discussion

Member takes

Implication

Key Points

Cite This Study

On Quasi-Monotone Stochastic Variational Inequalities with Applications

Discussion

Member takes

Implication

Key Points

Cite This Study

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