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Fixed Points and Generalized Stability for ψ-Additive Mappings of Isac-Rassias Type

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Nonlinear Analysis and Variational Problems

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 35))

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Abstract

Some results of G. Isac and Th. M. Rassias on ψ-additive mappings will be slightly extended by proving a stability theorem for functions defined on generalized α-normed spaces and taking values in β-normed spaces. We will show that some well-known theorems concerning the stability of Cauchy’s functional equation can be obtained as consequences of our results.

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Author information

Authors and Affiliations

  1. Department of Mathematics, “Politehnica” University of Timişoara, Piaţa Victoriei 2, 300006, Timişoara, Romania

    Liviu Cădariu

  2. Faculty of Mathematics and Computer Science, Department of Mathematics, West University of Timişoara, Vasile Pârvan 4, 300223, Timişoara, Romania

    Viorel Radu

Authors
  1. Liviu Cădariu
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  2. Viorel Radu
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Corresponding authors

Correspondence to Liviu Cădariu or Viorel Radu .

Editor information

Editors and Affiliations

  1. Dept. Industrial & Systems, Engineering, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, USA

    Panos M. Pardalos

  2. Zagoras Street 4, Athens, 151 25, Greece

    Themistocles M. Rassias

  3. School of Mathematical Sciences, Rochester Institute of Technology, Lomb Memorial Drive 85, Rochester, 14623-5602, USA

    Akhtar A. Khan

Additional information

Dedicated to the memory of Professor George Isac

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Cădariu, L., Radu, V. (2010). Fixed Points and Generalized Stability for ψ-Additive Mappings of Isac-Rassias Type. In: Pardalos, P., Rassias, T., Khan, A. (eds) Nonlinear Analysis and Variational Problems. Springer Optimization and Its Applications, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0158-3_3

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