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Stability of ψ -additive mappings: applications to nonlinear analysis

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  • George Isac
  • Themistocles M. Rassias

Abstract

The Hyers-Ulam stability of mappings is in development and several authors have remarked interesting applications of this theory to various mathematical problems. In this paper some applications in nonlinear analysis are presented, especially in fixed point theory. These kinds of applications seem not to have ever been remarked before by other authors.

Suggested Citation

  • George Isac & Themistocles M. Rassias, 1996. "Stability of ψ -additive mappings: applications to nonlinear analysis," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-10, January.
  • Handle: RePEc:hin:jijmms:748167
    DOI: 10.1155/S0161171296000324
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    Cited by:

    1. Maryam Ramezani & Ozgur Ege & Manuel De la Sen, 2019. "A New Fixed Point Theorem and a New Generalized Hyers-Ulam-Rassias Stability in Incomplete Normed Spaces," Mathematics, MDPI, vol. 7(11), pages 1-11, November.
    2. P. Saha & T. K. Samanta & Pratap Mondal & B. S. Choudhury & Manuel De La Sen, 2020. "Applying Fixed Point Techniques to Stability Problems in Intuitionistic Fuzzy Banach Spaces," Mathematics, MDPI, vol. 8(6), pages 1-15, June.

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