General Solution and Stability of Quattuordecic Functional Equation in Quasi β-Normed Spaces - Advances in Pure Mathematics

APM > Vol.6 No.12, November 2016

Advances in Pure Mathematics

Volume 6, Issue 12 (November 2016)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.48 Citations

General Solution and Stability of Quattuordecic Functional Equation in Quasi β-Normed Spaces ()

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DOI: 10.4236/apm.2016.612070 1,955 Downloads 3,421 Views Citations

Author(s)

K. Ravi¹, J. M. Rassias², S. Pinelas³, S. Suresh⁴

Affiliation(s)

¹Department of Mathematics, Sacred Heart College, Tirupattur, Tamil Nadu, India.
²Pedagogical Department E. E, Section of Mathematics and Informatics, National and Capodistrian University of Athens, Athens, Greece.
³Departamen to de Cincias Exactas e Naturais, Amadora, Portugal.
⁴Research and Development Centre, Bharathiar University, Coimbatore, India.

ABSTRACT

In this paper, we introduce the following quattuordecic functional equation f(x+7y)-14f(x+6y)+91f(x+5y)-364f(x+4y)+1001f(x+3y)-2002f(x+2y)+3003f(x+y)-3432f(x)+3003f(x-y)-2002f(x-2y)+1001f(x-3y)-364f(x-4y)+91f(x-5y)-14f(x-6y)+f(x-7y)=14!f(y), investigate the general solution and prove the stability of this quattuordecic functional equation in quasi β-normed spaces by using the fixed point method.

KEYWORDS

Quattuordecic Functional Equation, Fixed Point Method, Hyers-Ulam Rassias Stability, Quasi-β-Normed Space

Share and Cite:

Ravi, K. , Rassias, J. , Pinelas, S. and Suresh, S. (2016) General Solution and Stability of Quattuordecic Functional Equation in Quasi β-Normed Spaces. Advances in Pure Mathematics, 6, 921-941. doi: 10.4236/apm.2016.612070.

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