Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (1): 97-102 .doi: https://doi.org/10.1007/s10483-007-0111-1

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Sensitivity analysis of generalized set-valued quasi-variational inclusion in Banach spaces

曾六川, 姚任之   

  • 收稿日期:2005-04-26 修回日期:2006-10-12 出版日期:2007-01-18 发布日期:2007-01-18
  • 通讯作者: 姚任之

Sensitivity analysis of generalized set-valued quasi-variational
inclusion in Banach spaces

ZENG Lu-chuan, YAO Jen-chih   

    1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
    2. Department of Applied Mathematics, National Sun
      Yat-sen University,Kaohsiung, Taiwan 804, P. R. China
  • Received:2005-04-26 Revised:2006-10-12 Online:2007-01-18 Published:2007-01-18
  • Contact: YAO Jen-chih

Abstract: The sensitivity analysis for a class of generalized set-valued quasi-variational inclusion problems is investigated in the setting of Banach spaces. By using the resolvent operator technique, without assuming the differentiability and monotonicity of the given data, equivalence of these problems to the class of generalized resolvent equations is established.

Key words: generalized set-valued quasi-variational inclusions, generalized resolvent equations, sensitivity analysis, Lipschitz continuous operators, Banach space

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