On stability of some integral equations in 𝟐-Banach spaces
Sigma Journal of Engineering and Natural Sciences 2020, Vol. 38, Issue 3, pp. 1261-1268; doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-on-stability-of-some-integral-equations-in-2-banach-spaces
Abstract
The objective of this article is to investigate the Ulam-Hyres stability and Ulam-Hyres-Rassias stability for some general integral equations 𝑓(𝑥)=∫ 𝐸𝐹(𝑥,𝑓(𝑥))𝑑𝑥, 𝑥∈𝐸, where 𝐸 is a nonempty set of a Banach space. The main tool used in the analysis is a recent fixed point theory. In this way, we obtain results in 2-Banach Spaces.
Keywords: Ulam stability; integral equation; fixed point theory; Banach Spaces.
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El-HADY, E.; ÖĞREKÇİ, S. On stability of some integral equations in 𝟐-Banach spaces. Sigma Journal of Engineering and Natural Sciences 2020, Vol. 38, pp. 1261-1268. https://doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-on-stability-of-some-integral-equations-in-2-banach-spaces
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