Corpus ID: 221264239

A Stochastic Iteration Method for A Class of Monotone Variational Inequalities In Hilbert Space

@inproceedings{Ijioma2020ASI,
  title={A Stochastic Iteration Method for A Class of Monotone Variational Inequalities In Hilbert Space},
  author={Onwukwe Ijioma},
  year={2020}
}
We examined a general method for obtaining a solution to a class of monotone variational inequalities in Hilbert space. be a continuous linear monotone operator and be a non empty closed convex subset of . From an initial arbitrary point We proposed and obtained iterative method that converges in norm to a solution of the class of monotone variational inequalities. A stochastic scheme is defined as follows: is a strong stochastic approximation of . 
cscjournals.org

References

SHOWING 1-10 OF 13 REFERENCES
Iterative methods for solving a class of monotone variational inequality problems with applications
  • 7
Convergence of Hybrid Steepest-Descent Methods for Variational Inequalities
  • 287
Steepest descent approximations for accretive operator equations
  • 28
  • PDF
Regularization and iterative methods for monotone inverse variational inequalities
  • Xue-ping Luo, Jun Yang
  • Mathematics, Computer Science
  • Optim. Lett.
  • 2014
  • 6
Convergence of the Robbins-Monro method for linear problems in a Banach space
  • 28
  • PDF
Stochastic approximation and optimization of random systems
  • 230
  • PDF
Probability
  • 3,683
  • PDF
Okoroafor. “ A Stochastic Approximation Method Applied To A Walrasian Equilibrium Model
  • IJAM Vol
  • 2012
A Strong Convergence Stochastic Algorithms for the global solution of Autonomous Differential Equations in R n .
  • J. Applied Science
  • 2006
On The Convergence of Linear Stochastic Convergence Procedures.
  • IEEE trans. Inform. Theory,
  • 1996
...
1
2
...