Document Zbl 1105.90095

Ding, Ke; Huang, Nan-Jing; Kim, Jong Kyu

A new system of generalized nonlinear co-complementarity problems. (English) Zbl 1105.90095

J. Appl. Math. Comput. 21, No. 1-2, 379-391 (2006).

Summary: We introduce and study a new system of generalized nonlinear co-complementarity problems with set-valued mappings and construct an iterative algorithm for approximating the solutions of the system of generalized co-complementarity problems. We prove the existence of the solutions for the system of generalized co-complementarity problems with set-valued mappings without compactness and the convergence of iterative sequences generated by the algorithm in Hilbert spaces. We also study a new perturbed iterative algorithm for approximating a system of generalized co-complementarity problems with single-valued mappings in Hilbert spaces.

Cited in 1 Document

MSC:

90C33	Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
47J20	Variational and other types of inequalities involving nonlinear operators (general)

Keywords:

system of generalized co-complementarity problems; set-valued mapping; existence of solution; perturbed iterative algorithm; convergence

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References:

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