Renu Chugh, Rekha Rani, A Weak Convergence Theorem for Variational Inequalities and Fixed Point Problems in a Real Hilbert Space, Journal of Engineering and Applied Sciences, Volume 11,Issue 13, 2016, Pages 2962-2970, ISSN 1816-949x, jeasci.2016.2962.2970, (https://makhillpublications.co/view-article.php?doi=jeasci.2016.2962.2970) Abstract: In this study, using the projection technique, we introduce a new iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of variational inequality problem for inverse strongly monotone mapping in a real Hilbert space. Keywords: Weak convergence theorem;real hilbert space;variational inequality theory;element;India