Iterative roots of some functions

Sukrawan MAVECHA; Vichian LAOHAKOSOL; Boonrod YUTTANAN

Article Details

Iterative roots of some functions

Authors:

Sukrawan MAVECHA | Vichian LAOHAKOSOL | Boonrod YUTTANAN

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.819-840

Document Type:

Article

Publication Date:

5/2018

Document Language:

Turkish

Document ID (Org No.):

2000745855

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

The iterative  equation fq(x)=g(x)fq(x)=g(x)f^{q}(x)=g(x), x∈Xx∈Xx\in X for a given function ggg and  a positive integer qqq is solved in the following two main cases:    (i) X=ZX=ZX=\mathbb{Z}, g(x)=ax+bg(x)=ax+bg(x)=ax+b, (a,b∈Za,b∈Za,b\in\mathbb{Z};  a≠0,1a≠0,1a\neq0,1);    (ii) X=N∪{0}X=N∪{0}X=\mathbb{N}\cup\left\{ 0\right\} , ggg is increasing with no fixed point.

Article Details

Iterative roots of some functions

Authors: Sukrawan MAVECHA | Vichian LAOHAKOSOL | Boonrod YUTTANAN

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.819-840

Document Type: Article

Publication Date: 5/2018

Document Language: Turkish

Document ID (Org No.): 2000745855

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Sukrawan MAVECHA | Vichian LAOHAKOSOL | Boonrod YUTTANAN

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.819-840

Document Type:

Article

Publication Date:

5/2018

Document Language:

Turkish

Document ID (Org No.):

2000745855

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098