Sentence examples for mappings with condition from inspiring English sources

The class of -contraction maps of the first and second kind include the mappings with condition (B) [3] and almost generalized contractions [6], respectively.

We also consider the following iteration for mappings with condition (B).

The following theorem shows that demiclosed principle is true for mappings with condition (B).

We study Pazy's type fixed point theorems, demiclosed principles, and ergodic theorem for mappings with condition (B).

Next, we consider the weak convergence theorems for equilibrium problems and the fixed points of mappings with condition (B).

Afterwards Nanjaras et al. [3] gave some characterization of existing fixed point results for mappings with condition (C) in the framework of CAT ( 0 ) spaces.

Let C be a nonempty closed convex subset of a complete uniformly convex hyperbolic space X with monotone modulus of uniform convexity η and let (T : C to C) be an (SKC -mapping with condition (I) and (F(T) neqphi).

In this section some fixed point theorems of generalized Lipschitz mappings with weaker conditions than the condition ρ ( k ) < 1, are proved (see Definition 3.1 for the condition).

We recall the following convergence theorem with a weak contraction for a sequence of nonexpansive mappings with AKTT condition.

({T_{n}}) is a uniformly closed family of countable Bregman quasi-Lipschitz mappings with the condition (lim_{nrightarrowinfty}L_{n}=lim_{nrightarrowinfty}frac{n+1}{n}=lim_{nrightarrowinfty}frac{n+1}{n

By using Conclusions 4.1 and 4.2, ({T_{n}}) is a uniformly closed family of countable Bregman quasi-Lipschitz mappings with the condition (lim_{nrightarrowinfty}L_{n}=lim_{nrightarrowinfty}frac{n+1}{n}=lim_{nrightarrowinfty}frac{n+1}{n