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Acta Mathematica Hungarica
Authors:
Daria Bugajewska
and
Donal O’Regan
Summary We discuss the existence or the existence and uniqueness of global and local Λ-bounded variation (ΛBV) solutions as well as continuous ΛBV-solutions of nonlinear Hammerstein and Volterra-Hammerstein integral equations formulated in terms of the Lebesgue integral. Since the space of functions of bounded variation in the sense of Jordan is a proper subspace of functions of Λ-bounded variation and for some class of functions φ, the space of functions of bounded φ-variation in the sense of Young is also a proper subspace of the space under consideration, our results extend known results in the literature.
Acta Mathematica Hungarica
Authors:
Donal O’Regan
,
John Michael Rassias
, and
Reza Saadati
Abstract
Using fixed point methods, we prove the generalized Hyers–Ulam stability of homomorphisms in multi-C
∗ ternary algebras and of derivations on multi-C
∗ ternary algebras for the additive functional equation
