Sentence examples for mappings and study from inspiring English sources

We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points.

In order to show more specific and qualitative results, we apply the mappings and study a snake robot with two joints (c.f. Fig. 3).

We present a new category of expansive mappings called -expansive mappings and study various fixed point theorems for such mappings in complete metric spaces.

In this paper, we introduce a class of totally quasi-ϕ-asymptotically nonexpansive nonself mappings and study the strong convergence under a limit condition only in the framework of Banach spaces.

Motivated by this observation and those previous works, we are interested in introducing the concept of graph-preserving for multi-valued mappings and study their fixed point theorem in a complete metric space endowed with a graph.

In a recent paper [10], the authors investigate the existence of a fixed point of asymptotic pointwise nonexpansive mappings and study the convergence of the modified Mann iteration in hyperbolic metric spaces.

Davidson's proximity to scientific research institutions has helped its exploration, as multiple dives, mappings, and studies have made it one of the better-studied seamounts in the world.

Alber et al. [13] introduced a more general class of asymptotically nonexpansive mappings called total asymptotically nonexpansive mappings and studied the methods of approximation of fixed points.

Takahashi et al. [1 7] gave the following definitions of nonlinear mappings and studied the existence and convergence theorems of fixed points for these mappings.

They introduced the class of probabilistic G-contraction single-valued mappings and studied the existence of fixed points for such mappings.

Albert et al. [4] introduced a more general class of asymptotically nonexpansive mappings called total asymptotically nonexpansive mappings and studied methods of approximation of fixed points of mappings belonging to this class.