ON NEW SYSTEMS OF GENERALIZED NONLINEAR MIXED QUASIVARIATIONAL INEQUALITIES WITH TWO-VARIABLE OPERATORS

Abstract

The purpose of this paper is to study the existence of solution and approximation solvability for a new system of generalized nonlinear mixed quasivariational inequalities with two-variable operators in Hilbert spaces. We prove the convergence of iterative sequences generated by the algorithm for the system of generalized nonlinear mixed quasivariational inequality problems. The main results of this paper are generalizations, improvements and unifications of recent results in Chang et al. ([2], [3]), Kim-Kim [4], Kim-Kim [5], Nie et al. [9], Noor ([10]-[16]), Verma ([18]-[22]) and others ([6]-[8]).