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### Contents

STABILITY OF MAPPINGS OF HYERSULAM TYPE | 1 |

Iterative Stability of the BĂ¶ttcher Equation | 15 |

On the HyersUlam Stability of the Generalized Orthogonality | 31 |

Copyright | |

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ABSTRACT additive function apply approximately arbitrary assume Banach space bounded Cauchy complete condition Consequently consider constant continuous functions convergent convex COROLLARY D. H. Hyers D.H.Hyers defined definition denote difference equality example exists fact Florida functional equation give given Hence holds homogeneous functions homomorphisms Hyers-Ulam Type Hadronic hypotheses implies induction inequality integer Lemma limit linear functional equation linear mapping locally Mappings of Hyers-Ulam Math Mathematics means method Moreover neighbourhood normed space obtain Obviously orthogonality equation Palm Harbor particular Poland positive problem Proc proof prove question Rassias real normed real numbers References region relation Remark respect result satisfies sense sequence similar solution Stability of Mappings sufficient Suppose Tabor Theorem transformation true Type Hadronic Press U.S.A. ISBN Ulam University vector space whence