Generalized Ulam-Hyers Stability of a General Mixed AQCQ-functional Equation in Multi-Banach Spaces: a Fixed Point Approach

Authors

  • Tian Zhou Xu Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, People's Republic of China
  • John Michael Rassias Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece.
  • Wan Xin Xu School of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu 611731 People's Republic of China

Keywords:

Fixed point alternative, Stability, Additive function, Quadratic function, Cubic function, Quartic function, Multi-Banach space

Abstract

Using the fixed point method, we investigate the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation

in multi-Banach spaces.

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Published

2010-12-31

Issue

Vol. 3 No. 6 (2010): Special Issue on Complex Analysis:Theory and Applications

Section

Special Issue on Complex Analysis: Theory and Applications

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How to Cite

Generalized Ulam-Hyers Stability of a General Mixed AQCQ-functional Equation in Multi-Banach Spaces: a Fixed Point Approach. (2010). European Journal of Pure and Applied Mathematics, 3(6), 1032-1047. https://www.ejpam.com/index.php/ejpam/article/view/854