Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 10, Number 4 (2006), 949-961.
ON THE CONVERGENCE ANALYSIS OF THE ITERATIVE METHOD WITH ERRORS FOR GENERAL MIXED QUASIVARIATIONAL INEQUALITIES IN HILBERT SPACES
The purpose of this paper is to investigate the iterative methods for a class of general mixed quasivariational inequalities in a Hilbert space. Utilizing the alternative equivalent formulation between general mixed quasivariational inequalities and implicit fixed-point problems, we suggest and analyze a new modified self-adaptive resolvent method with errors for solving this class of general mixed quasivariational inequalities in conjunction with a technique updating the solution. Moreover, we give the convergence analysis of this method in a Hilbert space. Since this class of general mixed quasivariational inequalities includes a number of known classes of variational inequalities as special cases, our results are more general than some earlier and recent ones in the literature.
Taiwanese J. Math., Volume 10, Number 4 (2006), 949-961.
First available in Project Euclid: 18 July 2017
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Primary: 49J30: Optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc. 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]
Zeng, Lu-Chuan; Yao, Jen-Chih. ON THE CONVERGENCE ANALYSIS OF THE ITERATIVE METHOD WITH ERRORS FOR GENERAL MIXED QUASIVARIATIONAL INEQUALITIES IN HILBERT SPACES. Taiwanese J. Math. 10 (2006), no. 4, 949--961. doi:10.11650/twjm/1500403886. https://projecteuclid.org/euclid.twjm/1500403886