Next Article in Journal
Comparison of Differential Operators with Lie Derivative of Three-Dimensional Real Hypersurfaces in Non-Flat Complex Space Forms
Next Article in Special Issue
Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability
Previous Article in Journal
Linearization of the Kingman Coalescent
Previous Article in Special Issue
Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces
Article

Generalized Hyers-Ulam Stability of Trigonometric Functional Equations

1
Department of Mathematics, Faculty of Sciences, Ibn Zohr University, Agadir 80000, Morocco
2
Institute of Mathematics, University of Zurich, CH-8057 Zurich, Switzerland
3
Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(5), 83; https://doi.org/10.3390/math6050083
Received: 18 April 2018 / Revised: 2 May 2018 / Accepted: 11 May 2018 / Published: 18 May 2018
(This article belongs to the Special Issue Stability Problems)
In the present paper we study the generalized Hyers–Ulam stability of the generalized trigonometric functional equations f ( x y ) + μ ( y ) f ( x σ ( y ) ) = 2 f ( x ) g ( y ) + 2 h ( y ) , x , y S ; f ( x y ) + μ ( y ) f ( x σ ( y ) ) = 2 f ( y ) g ( x ) + 2 h ( x ) , x , y S , where S is a semigroup, σ : S S is a involutive morphism, and μ : S C is a multiplicative function such that μ ( x σ ( x ) ) = 1 for all x S . As an application, we establish the generalized Hyers–Ulam stability theorem on amenable monoids and when σ is an involutive automorphism of S. View Full-Text
Keywords: Hyers-Ulam stability; trigonometric functional equations; semigroup Hyers-Ulam stability; trigonometric functional equations; semigroup
MDPI and ACS Style

Elqorachi, E.; Rassias, M.T. Generalized Hyers-Ulam Stability of Trigonometric Functional Equations. Mathematics 2018, 6, 83. https://doi.org/10.3390/math6050083

AMA Style

Elqorachi E, Rassias MT. Generalized Hyers-Ulam Stability of Trigonometric Functional Equations. Mathematics. 2018; 6(5):83. https://doi.org/10.3390/math6050083

Chicago/Turabian Style

Elqorachi, Elhoucien; Rassias, Michael T. 2018. "Generalized Hyers-Ulam Stability of Trigonometric Functional Equations" Mathematics 6, no. 5: 83. https://doi.org/10.3390/math6050083

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop