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A Further Study on Asymptotic Functions via Variational Analysis

Author

Listed:
  • Felipe Lara

    (Universidad de Tarapacá)

  • Rubén López

    (Universidad de Tarapacá)

  • Benar F. Svaiter

    (Instituto Nacional de Matemática Pura e Aplicada (IMPA))

Abstract

We use variational analysis for studying asymptotic (recession or horizon) functions. We introduce the upper and lower asymptotic operators and study their domain and image. Moreover, we characterize their fixed points and zeros. Finally, we establish continuity properties of this operator, i.e., the convergence of asymptotic functions of convergent sequences of functions.

Suggested Citation

  • Felipe Lara & Rubén López & Benar F. Svaiter, 2019. "A Further Study on Asymptotic Functions via Variational Analysis," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 366-382, July.
    • Handle: RePEc:spr:joptap:v:182:y:2019:i:1:d:10.1007_s10957-019-01507-w
    DOI: 10.1007/s10957-019-01507-w
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    References listed on IDEAS

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    1. Khalid Addi & Daniel Goeleven, 2017. "Complementarity and Variational Inequalities in Electronics," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Operations Research, Engineering, and Cyber Security, pages 1-43, Springer.
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