Sentence examples for by using the shrinking from inspiring English sources
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.
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.
By using the shrinking projection method, some strong convergence theorems in a uniformly convex and uniformly smooth Banach space are provided.
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.
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.
In 2012, Chang et al. [9] introduced the concept of total quasi-ϕ-asymptotically nonexpansive multi-valued mapping and then proved some strong convergence theorem by using the hybrid shrinking projection method.
Corporations have been gaming the system by using the highest rates allowable, which shrinks their reported liabilities, and thus their funding requirements.
One way that the production tries to shrink the room is by using the set, which is designed like a bar, as a functioning tavern; audience members can get on stage before the show and during intermission to order a pint.
Moreover, by using a shrinking projection method, Takahashi et al. [14] introduced a new algorithm and proved strong convergence theorems for finding a common fixed point of families of nonexpansive mappings.
