SOLUTION OF THE FUNCTIONAL EQUATION f omicron f = g FOR NON INJECTIVE g

作者：Chitescu Ion^*; Gidea Traian

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2011, 73(2): 111-118.

• homeomorphism
• strictly monotone function
• generalized inverse
• fixed point

We solve the functional equation f omicron f = g in case the given function g has two intervals of opposite monotonicity. Notice that in the classical framework the given function g is strictly monotone. The first section has a preliminary character. In the second section the problem is formulated and solved in a constructive manner.

• 出版日期2011