Exact(60)
System of generalized ordered variational inclusions can be viewed as natural and innovative generalizations of the system of generalized ordered variational inequalities.
The system of generalized implicit vector quasivariational inequality problems generalizes the generalized implicit vector quasivariational inequality problems, and the latter had been studied in [1 3].
We prove the existence of the solutions for the system of generalized relaxed cocoercive variational inequality problems and the convergence of iterative sequences generated by the algorithm.
Under certain conditions, we obtain the existence of solutions for the system of generalized nonlinear mixed quasivariational inclusions and prove the convergence of the iterative sequences generated by the iterative algorithms.
Finally, we prove the existence of solutions for the system of generalized nonlinear mixed quasivariational inclusions and show the convergence of the iterative sequences generated by the iterative algorithms in Hilbert spaces.
Ansari, Schaible and Yao [11] studied the system of generalized vector equilibrium problems.
For the system of generalized variational inequality problem (SGVIP), find such that (1.2).
This problem is called the system of generalized set-valued variational inclusions.
Next, we consider the system of generalized variational inequality in which is unbounded.
which is called the system of generalized nonlinear mixed variational inclusions, where are constants.
So, it seems reasonable to study the system of generalized mixed equilibrium problems.
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