Sentence examples for mappings which solves from inspiring English sources

We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational inequality.

We proved that the proposed algorithm converges strongly to a common fixed point of a countable family of nonexpansive mappings which solves uniquely the corresponding variational inequality.

(5) Theorem 3.3 shows that the hybrid viscosity approximation method (3.2) converges strongly to a common fixed point of an infinite family of nonexpansive mappings, which solves a variational inequality on their common fixed point set.

We prove, under certain appropriate conditions on the sequences and that defined by (1.10) converges strongly to a common fixed point of the finite family of nonexpansive mappings, which solves a variational inequaility problem.

Our purpose in this paper is to introduce this general iterative algorithm for approximating a common fixed points of semigroups of non-expansive mappings which solves some variational inequality.

In this article, under the weaker conditions, we prove the strong convergence of the sequence generated by their iterative algorithm to a common fixed point of an infinite family of nonexpansive mappings, which solves a variational inequality.

In this paper, we study synchronal and cyclic algorithms for finding a common fixed point x ∗ of a finite family of strictly pseudocontractive mappings, which solve the variational inequality.

It is proved under some appropriate control conditions on the sequences { λ n } { α n } and { β n } that { x n } converges strongly to a common fixed point Q ( f ) of the infinite family of nonexpansive mappings T 1, T 2, …  , which solves a variational inequality on F = ⋂ n = 1 ∞ F ( T n ).

In this paper, we introduce a general algorithm to approximate common fixed points for a countable family of nonexpansive mappings in a real Hilbert space, which solves a corresponding variational inequality.

Let T, V: C → C are two nonexpansive self mappings and f is a contraction on C. Then {x n } converges strongly to a solution, which solves another variational inequality.

In this paper, we introduce a new composite viscosity iterative algorithm and prove the strong convergence of the proposed algorithm to a common fixed point of one finite family of nonexpansive mappings and another infinite family of nonexpansive mappings, which also solves a general mixed equilibrium problem and a finite family of variational inequalities.