Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (10): 1087-1098.

• Articles • Previous Articles     Next Articles

ON A CLASS OF GENERALIZED NONLINEAR IMPLICIT QUASIVARIATIONAL INCLUSIONS

Ding Xieping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China
  • Received:1998-06-12 Revised:1999-02-05 Online:1999-10-18 Published:1999-10-18
  • Supported by:
    the National Natural Science Foundation of China(19871059)

Abstract: In this paper, a new class of generalized nonlinear implicit quasivariational inclusions involving a set-valued maximal monotone mapping are studied. A existence theorem of solutions for this class of generalized nonlinear implicit quasivariational inclusions is proved without compactness assumptions. A new iterative algorithm for finding approximate solutions of the generalized nonlinear implicit quasivariational inclusions is suggested and analysed and the convergence of iterative sequence generated by the new algorithm is also given. As special cases, some known results in this field are also discussed.

2010 MSC Number: 

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