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HYERS-ULAM STABILITY OF AN ADDITIVE (ρ1, ρ2)-FUNCTIONAL INEQUALITY IN BANACH SPACES

박춘길|Sungsik Yun
한국수학교육학회|2018.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제25권 제2호|pp. 161-170|DOI https://doi.org/10.7468/jksmeb.2018.25.2.161

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참고문헌

키워드

direct methodHyers-Ulam stabilityadditive (ρ1ρ2)-functional inequalityBanach space.¯xed point method
주제분류수학

초록

In this paper, we introduce and solve the following additive (p1, p2)-functional inequality where p1 and p2 are fixed nonzero complex numbers with|p1 | + |p2|< 2. Using the fixed point method and the direct method, we prove the Hyers- Ulam stability of the additive (p1; p2)-functional inequality (0.1) in complex Banach spaces.

Abstract

In this paper, we introduce and solve the following additive (p1, p2)-functional inequality where p1 and p2 are fixed nonzero complex numbers with|p1 | + |p2|< 2. Using the fixed point method and the direct method, we prove the Hyers- Ulam stability of the additive (p1; p2)-functional inequality (0.1) in complex Banach spaces.

참고문헌 (19)

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