Sentence examples for mappings given in from inspiring English sources

Example 3.3 Theorem 3.3 can also be applied to mappings given in Example 3.2 because ( R, q ) is right-convergent.

Furthermore, from Corollary 26, we obtain exactly the fixed point for Kannan mappings given in [4], i.e., Theorem 4 in Section 1.

Some interesting examples to investigate relations between the mappings given in Definitions 2.3, 2.4 and 2.5 can be found in [3].

Results for KSC and CSC mappings or for mappings given in [6] satisfying the so-called conditions ( A 1 ) and ( A 2 ) in the setup of CAT ( 0 ) spaces can also be obtained from corresponding results proved in this paper.

(4) Results for KSC and CSC mappings or for mappings given in [6] satisfying the so-called conditions ( A 1 ) and ( A 2 ) in the setup of CAT ( 0 ) spaces can also be obtained from corresponding results proved in this paper.

In this paper, we generalize the contractive condition for multi-valued mappings given by Asl, Rezapour and Shahzad in 2012.

Examples to show that the class of nonexpansive-type mappings is properly contained in the class of k-strictly pseudocontractive-type mappings and that the class of k-strictly pseudocontractive-type mappings is properly contained in the class of pseudocontractive-type mappings were given in [2].

We introduce the definition of relaxed η-α pseudomonotone for α mapping which comes from a family of functions which contains all mappings α given in [20].

Stochastic mutational mapping is a Bayesian approach in which mutational histories are sampled from the posterior distribution of mappings, given the observed nucleotide data.

A detailed description of the filters and mappings are given in the Methods section.

An elegant and complete account of the theory of planar harmonic mappings is given in Duren's monograph [1].