Construction and analysis of iterative methods for solving fixed points and pseudomonotone variational inequalities

Fixed point problems and pseudomonotone variational inequalities have been studied extensively. An additional assumption "weak sequential continuity" imposed on pseudomonotone operators is used. This paper devotes to construct an iterative algorithm for finding a common point of fixed point problems and pseudomonotone variational inequalities under a weaker assumption than weak sequential continuity imposed on pseudomonotone operators. Strong convergence result of the proposed algorithm is shown.