Approximation of an AQCQ-functional equation and its applications

초록

This paper is a survey on the generalized Hyers-Ulam stability of an AQCQ-functional equation in several spaces. Its content is divided into the following sections: 1. Introduction and preliminaries. 2. Generalized Hyers-Ulam stability of an AQCQ-functional equation in Banach spaces: direct method. 3. Generalized Hyers-Ulam stability of an AQCQ-functional equation in Banach spaces: fixed point method. 4. Generalized Hyers-Ulam stability of an AQCQ-functional equation in random Banach spaces: direct method. 5. Generalized Hyers-Ulam stability of an AQCQ-functional equation in random Banach spaces: fixed point method. 6. Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archimedean Banach spaces: direct method. 7. Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archimedean Banach spaces: fixed point method.

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