The phrase "a system of generalized" is correct and usable in written English.
It can be used when discussing frameworks, theories, or methodologies that apply broadly across various contexts or categories.
Example: "The researchers proposed a system of generalized principles that could be applied to multiple disciplines."
Alternatives: "a framework of generalized" or "a model of generalized".
Solving the convex feasibility problem for a system of generalized Ky Fan's inequalities is very general in the sense that it includes, as special cases, optimization problems, equilibrium problems, variational inequality problems, minimax problems.
In this article, a system of generalized ordered variational inclusions is introduced and studied which is more general than many existing systems of ordered variational inclusions in the literature.
We prove the strong convergence of the sequence generated by the proposed method to a common solution of a system of generalized equilibrium problems and a hierarchical fixed point problem.
It is shown that simultaneous heat and mass transfer at all stages of bubble growth and rise in a bubbly absorber can be described by a system of generalized equations of nonstationary convective diffusion and energy balance.
The problem (3.1) is called a system of generalized nonlinear mixed quasivariational inclusions.
Question 2: Can an iterative scheme (1.19) to solve a system of generalized mixed equilibrium problems?
They also considered a systems of generalized vector quasi-equilibrium problems in topological vector spaces.
In this paper, we introduce and analyze a general iterative algorithm for finding a common solution of a finite family of mixed equilibrium problems, a general system of generalized equilibria and a fixed point problem of nonexpansive mappings in a real Hilbert space.
An existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems (for short, (SSGVQEP)) is obtained, which improves Theorem 3.1 of the work of Ansari et al. (J. Optim. Theory Appl. 127:20054, 2005).
Under some weaker conditions, we have established an existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems, and it improved the relevant Theorem 3.1 in the work of Ansari et al. [1].
In [3 11], some conservative finite difference schemes were used for a system of the generalized nonlinear Schrödinger equations, Regularized long wave (RLW) equations, Sine-Gordon equation, Klein-Gordon equation, Zakharov equations, Rosenau equation, respectively.
