Open AccessSeries-Like Iterative Functional Equation for PM Functions
Author(s) -
Murugan Suresh Kumar,
Veerapazham Murugan
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1850/1/012108
Subject(s) - functional equation , monotone polygon , mathematics , series (stratigraphy) , real line , class (philosophy) , mathematical analysis , functional differential equation , interval (graph theory) , pure mathematics , differential equation , combinatorics , computer science , geometry , paleontology , artificial intelligence , biology
Given a non-empty subset X of the real line and a self map G on X , the functional equation representing G as an infinite linear combination of iterations of a self map g on X is known as the series-like functional equation. The solutions of the series-like functional equation have been studied only for the class of continuous strictly monotone functions. In this paper, we prove the existence of solutions of series-like functional equations for the class of continuous non-monotone functions using characteristic interval.