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General Solution and Hyers–Ulam Stability of DuoTrigintic Functional Equation in Multi-Banach Spaces

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Frontiers in Functional Equations and Analytic Inequalities

Abstract

In this paper, we introduce the general form of a new duotrigintic functional equation. Then, we find the general solution and study the generalized Hyers–Ulam stability of such functional equation in multi-Banach spaces by employing fixed point technique. Also, we give an example for non-stability cases for this new functional equation.

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Author information

Authors and Affiliations

  1. PG and Research Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, India

    Murali Ramdoss & Antony Raj Aruldass

Authors
  1. Murali Ramdoss
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  2. Antony Raj Aruldass
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Editors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, Memphis, TN, USA

    George A. Anastassiou

  2. Pedagogical Department E. E., Section of Mathematics and Informatics, National and Kapodistrian University of Athens, Athens, Greece

    John Michael Rassias

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Ramdoss, M., Aruldass, A.R. (2019). General Solution and Hyers–Ulam Stability of DuoTrigintic Functional Equation in Multi-Banach Spaces. In: Anastassiou, G., Rassias, J. (eds) Frontiers in Functional Equations and Analytic Inequalities. Springer, Cham. https://doi.org/10.1007/978-3-030-28950-8_7

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