Sentence examples for mappings the set from inspiring English sources

Peng et al. [9] introduced another iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse strongly monotone mappings, the set of solutions of an equilibrium problem, and the set of fixed points of a nonexpansive mapping.

We introduce an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse strongly monotone mappings, the set of solutions of an equilibrium problem, and the set of fixed points of a nonexpansive mapping.

In this paper, we introduce and analyze a new general hybrid iterative algorithm for finding a common element of the set of common zeros of two families of finite maximal monotone mappings, the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for a monotone, Lipschitz-continuous mapping in a real Hilbert space.

By using Algorithm 1.1, we will find a common element of the set of common zeros of two families of finite maximal monotone mappings, the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for a monotone, Lipschitz-continuous mapping.

Recently, Qin et al. [8] studied the problem of finding a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a relaxed cocoercive mapping and the set of solutions of an equilibrium problem.

In the same year, Yao et al. [9] introduced a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, and the set of solutions of a mixed equilibrium problem.

where are two nonexpansive mappings with the set of fixed points.

where S, T : C → C are two nonexpansive mappings with the set of fixed point Fix ( T ) ≠ ∅.

Typically, chemical nomenclatures are encapsulated by deterministic algorithms that specify mappings from the set of chemical structures to the set of names.

They also considered the problem of finding a comment element of fixed points of nonexpansive mappings and the set of solution of the general variational inequalities.

Iterative approximation of fixed points for relatively nonexpansive mappings, weak relatively nonexpansive mappings, quasi-ϕ nonexpansive mappings, quasi-ϕ-asymptotically non-expansive mappings in the setting of Banach spaces has been studied extensively by many authors (see [5 13]).