On stability of some integral equations in 𝟐-Banach spaces
1Mathematics Department, College of Science, Jouf University, P.O. Box: 2014, Sakaka, Saudi Arabia, and Basic Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia, 41522, EGYPT
2Department of Mathematics, Amasya University, AMASYA
2Department of Mathematics, Amasya University, AMASYA
Sigma J Eng Nat Sci 2020; 38(3): 1261-1268
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.
