Sentence examples for an element of where from inspiring English sources

Further, they proved that converges strongly to an element of, where.

Very recently, Moudafi [24] introduced an itertive method for finding an element of, where is an inverse-strongly monotone mapping and then proved a weak convergence theorem.

Since for a nonexpansive mapping, the mapping is -inverse strongly monotone, the problem of finding an element of, where denotes the set of fixed points of the nonexpansive mapping, is equivalent to that of finding an element of, where denotes the set of solutions of the mapping, and contained in the class of problem (1.9).

Motivated and inspired by these facts, in this paper, we introduced two iteration methods by the hybrid iterative method for finding an element of, where is a -strictly pseudocontractive non-self mapping, and then obtained two strong convergence theorems.

For example, in the setting of [9], if at the moment we reach a point, then the next iterate is an element of, where is the given mapping, which approximates the best approximation of in.

In this paper, motivated by Takahashi and Zembayashi [4], in Banach space, we prove a strong convergence theorem for finding an element of, where is a continuous and monotone operator, is a relatively nonexpansive mapping, and is quasi- -nonexpansive mapping.

"We can rely on an element of hubris where someone will want to state claim to their actions because of the celebrity that that provides.

"We provide an element of homecare where reablement is provided to help people maximise their skills and do things for themselves as opposed to things being done for them".

A carefully crafted statement on the API website does not explicitly deny the science of global warming, but it does inject an element of doubt where there is none over the link between the burning of fossil fuels and climate change.

So there's an element of this where the valuations are being driven by the amount of capital being raised".

Inherent in this characterization is an element of dynamism, where institutions are affected by social feedback on change they help foster.