Sentence examples for mappings and two from inspiring English sources

We prove a common fixed point theorem for two families of set-valued mappings and two single-valued mappings.

Plubtieng and Ughchittrakool [20] introduced an Ishikawa type hybrid scheme for two asymptotically nonexpansive mappings and two asymptotically nonexpansive semigroups.

Moreover, in the last section, we prove an interesting theorem involving the set of a finite family of κ i -strictly pseudo-contractive mappings and two sets of solutions of variational inequalities problems by using our main results.

Then, a new mixed Agarwal-O'Regan-Sahu type iterative scheme for approximating a common fixed point of two total asymptotically nonexpansive mappings and two total asymptotically nonexpansive nonself mappings is constructed.

By using our main results, we obtain an interesting theorem involving a finite family of κ-strictly pseudo-contractive mappings and two sets of solutions of the variational inequalities problem.

In this paper, we define an iterative method to approximate a common fixed point of a -strict pseudocontraction and of two sequences of nonexpansive mappings generated by two sequences of firmly nonexpansive mappings and two nonlinear mappings.

In addition, as there is no one-to-one mapping from a sequence to a peptide structure, we considered several different mappings, and one with the lowest energy was chosen.

In 2013, Tang [9] studied common solutions of fixed points of continuous pseudo-contractive mappings and zero points of the sum of monotone mappings.

Let be a pair of asymptotically nonexpansive mappings, and six sequences in with for any given, define a sequence as follows: (1.4).

In 2014, Zegeye and Shahzad [10] and Yao et al. [11] studied common solutions of fixed points of Lipschitz continuous pseudo-contractive mappings and zero points of the sum of monotone mappings.

The purpose of this paper is to construct a new iteration scheme of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and to prove some strong and weak convergence theorems for the new iteration scheme in uniformly convex Banach spaces.