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

• Articles • Previous Articles     Next Articles

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

2010 MSC Number: 

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