Sentence examples for mappings in general from inspiring English sources

In the following, we study the convergence of implicit Mann and Ishikawa iterative processes for weak generalized φ-hemicontractive mappings in general real Banach spaces.

Nonexpansive mappings, in general, have received important attention in the last years.

In view of the above one might expect firmly nonexpansive mappings to exhibit better behavior than nonexpansive mappings in general.

He also proved strong convergence and weak convergence theorems with the help of his process for the class of nonexpansive mappings in general Banach spaces and apply it to obtain a result in uniformly convex Banach spaces.

We also prove a strong convergence theorem with the help of our process for the class of nonexpansive mappings in general Banach spaces and apply it to get a result in uniformly convex Banach spaces.

He also proved the strong convergence and weak convergence theorems with the help of his iterative process (1.3) for the class of nonexpansive mappings in general Banach spaces and applied it to obtain results in uniformly convex Banach spaces.

However, no researcher has studied the fixed point theorems for N-generalized hybrid mappings in more general spaces.

However, the Mann iteration for nonexpansive mappings has in general only weak convergence even in a Hilbert space.

Metric fixed point theory of nonlinear mappings in a general setup of hyperbolic spaces is a fascinating field of research in nonlinear functional analysis.

Future work We intend to extract explicit and effective rates of metastability of Kuhfittig iteration involving a finite family of asymptotically quasi-nonexpansive mappings in the general setup of uniformly convex hyperbolic spaces.

This paper is a continuation of the analysis of classical Kuhfittig iteration involving a finite family of asymptotically quasi-nonexpansive mappings in the general setup of uniformly convex hyperbolic spaces.