On convex-valued G-m-monomials with applications in stability theory

Miahi, Mina; Mirzaee, Farshid; Khodaei, H.

doi:10.1007/s13398-021-01022-6

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2022

2024

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Cited by 5 publications

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“…Theorem 1 (Miahiet al [36], Diaz and Margolis [35]). Let (X, d) be a complete generalized metric space and Θ : X → X be a strictly contractive mapping with the Lipschitz constant L < 1.…”

Section: Fundamental Informationmentioning

confidence: 98%

On Ulam Stabilities of Delay Hammerstein Integral Equation

Tunç,

Tunç

2023

Symmetry

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In this paper, we consider a Hammerstein integral equation (Hammerstein IE) in two variables with two variables of time delays. The aim of this paper is to investigate the Hyers–Ulam (HU) stability and Hyers–Ulam–Rassias (HUR) stability of the considered IE via Banach’s fixed point theorem (Banach’s FPT) and the Bielecki metric. The proofs of the new outcomes of this paper are based on these two basic tools. As the new contributions of the present study, here, for the first time, we develop the outcomes that can be found in the earlier literature on the Hammerstein IE, including variable time delays. The present study also includes complementary outcomes for the symmetry of Hammerstein IEs. Finally, a concrete example is given at the end of this study for illustrations.

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Section: Fundamental Informationmentioning

confidence: 98%