Sentence examples for by using shrinking from inspiring English sources

Section 4, we prove a strong convergence theorem by using shrinking projection methods.

In this section, we will introduce an iterative scheme by using shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of fixed points of a finite family of quasi-nonexpansive mappings and the set of solutions of variational inclusion problems in a real Hilbert space.

A new design of a dovetail-shaped AlN Cu composite as an electrode enabled linear-shaped thermoelectric generator to be securely bonded to the combustion chamber walls by using shrink-fit-joining method.

Then, we prove strong convergence theorems by using a shrinking projection method.

Motivated by [2, 3], Inchan [4] has introduced a new hybrid iterative scheme by using the shrinking projection method with the modified Mann iteration for asymptotically nonexpansive mappings.

By using the shrinking projection method, some strong convergence theorems in a uniformly convex and uniformly smooth Banach space are provided.

In 2007, Takahashi et al. [23] proved the following strong convergence theorem for a nonexpansive mapping by using the shrinking projection method in mathematical programming.

In Section 4, we prove a strong convergence theorem for finding a fixed point of mappings in the new class by using the shrinking projection method.

Motivated by [4, 12], we design a new hybrid iterative scheme for finding a fixed point of mappings in the new class by using the shrinking projection method with respect to Bregman distances in reflexive Banach spaces.

Under suitable limit conditions, by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi, some strong convergence theorems for hybrid Halpern's iteration for a countable family of Bregman totally quasi-asymptotically nonexpansive multi-valued mappings are proved.

The purpose of this paper is to prove strong convergence theorems for asymptotically quasi-nonexpansive mappings with respect to Bregman distances in the intermediate sense by using the shrinking projection method.