A FORWARD-BACKWARD SPLITTING ALGORITHM FOR GENERAL MIXED VARIATIONAL INEQUALITIES

Muhammad Aslam Noor, Th. M. Rassias, Eisa Al-Said

Abstract


In this paper, we suggest and analyze a forward-backward splitting algorithm for solving general mixed variational inequalities by using the updating technique of the solution. The convergence of this new method requires only the pseudomonotonicity of the operator, which is a weaker condition than monotonicity. The new results are versatile and are easy to implement.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)