In this paper, we suggest and analyze a three-step iterative scheme for finding the common element of the set of the solutions of the general variational inequalities involving two nonlinear operators and the set of the common fixed point of nonexpansive mappings. We also consider the convergence analysis of the suggested iterative schemes under some mild… (More)
A new class of system of generalized parametric nonlinear quasivariational inequalities involving various classes of mappings is introduced and studied. With the properties of maximal monotone mappings, the equivalence between the class of system of generalized parametric nonlinear quasivariational inequalities and a class of fixed point problems is proved… (More)
In this paper, we introduce a modified Mann iterative process for approximating a common fixed point of a finite family of strict pseudo-contractions in Hilbert spaces. We establish the strong convergence theorem of the general iteration scheme under some mild conditions. Our results extend and improve the recent ones announced by many others.