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### Contents

STABILITY OF MAPPINGS OF HYERSULAM TYPE | 1 |

Iterative Stability of the Böttcher Equation | 15 |

On the HyersUlam Stability of the Generalized Orthogonality | 31 |

Copyright | |

### Common terms and phrases

additive function apply arbitrary assume Banach spaces bounded Cauchy complete condition Consequently consider constant continuous functions convergent convex COROLLARY D. H. Hyers D.H.Hyers defined definition denote difference E₁ example exists exists a unique fact fixed Florida function f 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 Palm Harbor particular 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