A New Fixed Point Theorem and a New Generalized Hyers-Ulam-Rassias Stability in Incomplete Normed Spaces

Maryam Ramezani, Ozgur Ege and Manuel De la Sen
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Maryam Ramezani: Department of Mathematics, University of Bojnord, 94531 Bojnord, Iran
Ozgur Ege: Department of Mathematics, Ege University, Bornova, 35100 Izmir, Turkey
Manuel De la Sen: Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Bizkaia, Spain

Mathematics, 2019, vol. 7, issue 11, 1-11

Abstract: In this study, our goal is to apply a new fixed point method to prove the Hyers-Ulam-Rassias stability of a quadratic functional equation in normed spaces which are not necessarily Banach spaces. The results of the present paper improve and extend some previous results.

Keywords: orthogonal set; Hyers-Ulam-Rassias stability; quadratic equation; fixed point; incomplete metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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