A strong convergence algorithm for solving pseudomonotone variational inequalities with a single projection

This paper proposes a single projection method with the Bregman distance technique for solving pseudomonotone variational inequalities in real reflexive Banach space. The step-sizes, which varies from step to step, are found over each iteration by cheap computation without any linesearch. We prove strong convergence result under suitable conditions on the cost operator. We further provide an application of our main result and also report some numerical experiments to illustrate the performance and efficiency of our proposed method.