Sentence examples for using the generalized f-projection from inspiring English sources

Using the generalized f-projection method.

For example, in 2011, Saewan and Kumam [16] introduced a modified Mann iterative scheme by using the generalized f-projection method for approximating a common fixed point of a countable family of relatively quasi-nonexpansive mappings.

Using the generalized f-projection operator technique, they introduced two-step iterative methods for solving the system of mixed variational inequalities and proved the convergence of the proposed iterative methods under suitable conditions in Banach spaces.

On the other hand, Ofoedu and Shehu [19] extended the algorithm of Li et al. [18] to prove strong convergence theorems for a common solution of the set of solutions of a system of Ky Fan's inequalities and the set of common fixed points of a pair of relatively quasi-nonexpansive mappings in a Banach space by using the generalized f-projection operator.

They extended the definition of generalized projection operators introduced by Abler [16] and proved the properties of the generalized f-projection operator.

They extended the definition of the generalized projection operators introduced by Abler [23] and proved some properties of the generalized f-projection operator.

For the generalized f-projection operator, Wu and Hung [13] proved the following basic properties.

For the generalized f-projection operator, Wu and Huang [9] proved in the following theorem some basic properties.

They extended the definition of generalized projection operators introduced by Abler [7] and proved some properties of the generalized f-projection operator.

Now, we recall the concept of the generalized f-projection operator.

For the generalized f-projection operator, Wu and Huang [10] proved the following basic properties.