On the stability of the linear functional equation in a single variable on complete metric groups

  • Authors:

  • Soon-Mo Jung;Dorian Popa;Michael Th. Rassias

  • Affiliations:

  • Mathematics Section, College of Science and Technology, Hongik University, Sejong, Republic of Korea 339-701;Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania 400114;Department of Mathematics, ETH-Zürich, Zurich, Switzerland 8092

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2014

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper we obtain a result on Hyers---Ulam stability of the linear functional equation in a single variable $$f(\varphi (x)) = g(x) \cdot f(x)$$ f ( 驴 ( x ) ) = g ( x ) · f ( x ) on a complete metric group.