The phrase "a common set of solutions" is correct and usable in written English.
You can use it when referring to a group of solutions that are shared or applicable to multiple problems or situations.
Example: "In our research, we identified a common set of solutions that can be applied to various environmental challenges."
Alternatives: "a shared collection of solutions" or "a standard array of solutions".
In this paper, we introduce and study the following hierarchical variational inequality problem (HVIP) defined over a common set of solutions of finitely many GMEPs, finitely many variational inclusions, a general system of variational inequalities, and a fixed point of a strictly pseudocontractive mapping.
In this paper, we consider a hierarchical variational inequality problem (HVIP) defined over a common set of solutions of finitely many generalized mixed equilibrium problems, finitely many variational inclusions, a general system of variational inequalities, and the fixed point problem of a strictly pseudocontractive mapping.
It is proven that under appropriate assumptions, the proposed algorithm converges strongly to a solution of a general system of variational inequalities defined over a common set of solutions of finitely many generalized mixed equilibrium problems (GMEPs), finitely many variational inclusions, and the fixed point problem of a strictly pseudocontractive mapping.
It is proven that under appropriate assumptions, the proposed algorithm converges strongly to a solution of GSVI (1.4) defined over a common set of solutions of finitely many generalized mixed equilibrium problems (GMEPs), finitely many variational inclusions and the fixed point problem of a strictly pseudocontractive mapping.
Learning occurs between group members engaged in joint enterprise to formulate a common set of solutions to familiar problems [ 13].
In this paper, we suggest and analyze an iterative scheme for finding an approximate element of the common set of solutions of a split equilibrium problem, a variational inequality problem and a hierarchical fixed point problem in a real Hilbert space.
The first result can be viewed as an extension and improvement of the method of Gu et al. [11] for finding an approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space.
The following result can be viewed as an extension and improvement of the method of Yao et al. [27] for finding an approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space.
The purpose of this paper is to investigate the problem of finding an approximate point of the common set of solutions of an equilibrium problem and a hierarchical fixed point problem in the setting of real Hilbert spaces.
In this paper, we suggested and analyzed an iterative method for finding an element of the common set of solutions of (1.1) and (1.4) in real Hilbert spaces.
In this paper, motivated by the work of Ceng et al. [18, 20], Yao et al. [12], Bnouhachem [19] and others, we propose an iterative method for finding an approximate element of the common set of solutions of EP (1.1) and HFPP (1.4) in the setting of real Hilbert spaces.
