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)=∫_E F(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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