On a Class of Generalized Nonlinear Implicit Quasivariational Inclusions

Ding Xieping

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Ding Xieping. On a Class of Generalized Nonlinear Implicit Quasivariational Inclusions[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1015-1024.

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Ding Xieping. On a Class of Generalized Nonlinear Implicit Quasivariational Inclusions[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1015-1024.

Citation:

Ding Xieping. On a Class of Generalized Nonlinear Implicit Quasivariational Inclusions[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1015-1024.

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On a Class of Generalized Nonlinear Implicit Quasivariational Inclusions

Ding Xieping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China

Received Date: 1998-06-12
Rev Recd Date: 1999-02-05
Publish Date: 1999-10-15

Abstract

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.
- generalized nonlinear implicit quasivariational inclusion,
- maximal monotone mapping,
- iterative algorithm,
- Hilbert space

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References(40)

References

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