Sentence examples for gauge functions from inspiring English sources

Such functions are called gauge functions or Minkowski functionals, and are well studied in convex analysis and functional analysis.

One of such gauge functions was introduced by Fang [16].

We denote by Ψ the family of Bianchini-Grandolfi gauge functions.

Recently, Marín et al. [5] generalized some results of [2] by using Bianchini-Grandolfi gauge functions.

In this context we also obtain some fixed point results for multivalued maps by using Bianchini-Grandolfi gauge functions.

These functions are known in the literature as Bianchini-Grandolfi gauge functions insome sources (see e.g.[1 3]).[1 3]

We note that a b-Bianchini-Grandolfi gauge function also satisfies the following functional equation: σ ( t ) = q σ ( φ ( t ) ) + t. (2.5).

where is a Bianchini-Grandolfi gauge function.

This function φ is called a gauge function.

We have shown that is a Bianchini-Grandolfi gauge function.

Consider the Bianchini-Grandolfi gauge function φ given by.