Furthermore, generalized equilibrium problems, generalized variational inequalities, generalized convex optimization, generalized split feasibility problems, and generalized inclusion problems are equivalent to relatively fixed point equation or systems of nonlinear operator equations (see [1 9]).
She wasn't alone; Keene's response to Rowling's "History of Magic in North America" circulated widely, along with social media posts, blogs, and articles by many Native American readers disturbed by the shallow, generalized inclusion of Native tradition and stereotypes in the story.
Two of the most difficult and important problems related to inclusions are the establishment of generalized inclusions and the development of an iterative algorithm.
system of generalized quasivariational inclusion.
In particular, when and the problem (1.2) is reduced to the problem, so-called the generalized variational inclusion problem, which was studied by Kazmi and Bhat [1].
In order to unify some variational inequality problems, in this paper, a new system of generalized quasivariational inclusion (for short, (SGQVI)) is introduced.
However, to the best of our knowledge, there is no paper dealing with systems of generalized quasivariational inclusion problems in -spaces.
Then, by using a Himmelberg type fixed point theorem in -spaces, we establish existence theorems of solutions for systems of generalized quasivariational inclusion problems, systems of variational equations, and systems of generalized quasiequilibrium problems in -spaces.
Then, by using the Himmelberg type fixed point theorem due to Park [12], we establish existence theorems of solutions for systems of generalized quasivariational inclusion problems, systems of variational equations, and systems of generalized quasiequilibrium problems in -spaces.
Well-known, generalized nonlinear inclusion (variational inequality and equation) have wide applications in many fields, including, for example, mathematics, physics, optimization and control, nonlinear programming, economic, and engineering sciences [1 6].
By using the Yosida approximation technique for m-accretive operator, we prove some existence and uniqueness theorems of solutions for this kind of system of generalized variational inclusions.
