ON STABILITY OF SOME INTEGRAL EQUATIONS IN 2-BANACH SPACES

Year 2020, Volume: 38 Issue: 3, 1261 - 1268, 05.10.2021

El-sayed El-hady Süleyman Öğrekçi

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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