Stability of approximate solution mappings for generalized Ky Fan inequality

• X. B. Li ^[1] ; Z. Lin ^[1] ; Q. L. Wang ^[1]
  1. [1] Chongqing Jiaotong University

     Chongqing Jiaotong University

     China

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 24, Nº. 1, 2016, págs. 196-205
• Idioma: inglés
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• Resumen

  • This paper is concerned with the stability for a generalized Ky Fan inequality when it is perturbed by vector-valued bifunction sequence and set sequence. By continuous convergence of the bifunction sequence and Painlevé–Kuratowski convergence of the set sequence, we establish the Painlevé–Kuratowski convergence of the approximate solution mappings of a family of perturbed problems to the corresponding solution mapping of the original problem. Our main results are new and different from the ones in the literature.