ISSN:
1573-2754
Keywords:
generalized strongly nonlinear quasi-complementarity problem
;
Hilbert space
;
cone
;
H-Lipschitz continuous mapping with respect tog
;
Ψ-strongly monotone mapping with respect tog
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract Using the algorithm in this paper, we prove the existence of solutions to the generalized strongly nonlinear quasi-complementarity problems and the convergence of the iterative sequences generated by the algorithm. Our results improve and extend the corresponding results of Noor and Chang-Huang. Moreover, a more general iterative algorithm for finding the approximate solution of generalized strongly nonlinear quasicomplementarity problems is also given. It is shown that the approximate solution obtained by the iterative scheme converges to the exact solution of this quasi-complementarity problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02463708
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