Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods

Authors

  • M. Arunkumar  Department of Mathematics, Government Arts College, Tiruvannamalai, Tamilnadu, India
  • A. Vijayakumar  Department of Mathematics, R.M.K. Engineering College, Kavarapettai, Tamilnadu, India
  • S. Karthikeyan  Department of Mathematics, R.M.K. Engineering College, Kavarapettai, Tamilnadu, India

Keywords:

Additive functional equation, Reciprocal functional equation, generalized Ulam-Hyers stability, Intuitionistic fuzzy normed spaces, Non - Archimedean Fuzzy normed spaces, fixed point method.

Abstract

In this paper, the authors established the generalized Ulam - Hyers stability of additive functional equation


which is originating from arithmetic mean of n consecutive terms of  an arithmetic progression in Intuitionistic fuzzy normed spaces and  reciprocal functional equation

originating from n-consecutive terms of a harmonic progression in Non - Archimedean Fuzzy  normed spaces using direct and fixed point methods. Applications of the above functional equations are also given.

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2015-08-25

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Volume 1, Issue 4, July-August-2015

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Research Articles

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[1]
M. Arunkumar, A. Vijayakumar, S. Karthikeyan "Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 1, Issue 4, pp.59-77, July-August-2015.