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Inertial iterative algorithms for common solution of variational inequality and system of variational inequalities problems

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The article introduces a new algorithm for solving a class of variational inequality problems for monotone operators and system of nonlinear variational inequalities problems for two inverse strongly monotone operators.… Click to show full abstract

The article introduces a new algorithm for solving a class of variational inequality problems for monotone operators and system of nonlinear variational inequalities problems for two inverse strongly monotone operators. We describe how to incorporate the extragradient like technique based on altering points technique with inertial effects. A weak convergence theorem is established for the proposed algorithm. Numerical examples are performed to illustrate the numerical efficiency of the algorithm and compare with other algorithms.

Keywords: system; inequalities problems; variational inequalities; inertial iterative; variational inequality

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2020

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