On a system of generalized nonlinear variational inequalities
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Abstract
In this paper a new class of system of generalizednonlinear variational inequalities involving strongly monotone,relaxed cocoercive and relaxed generalized monotone mappings inHilbert spaces is introduced and studied. Based on the projectionmethod, an equivalence between the system of generalized nonlinearvariational inequalities and the fixed point problem isestablished, which is used to suggest some new iterativealgorithms for computing approximate solutions of the system ofgeneralized nonlinear variational inequalities. A few sufficientconditions which ensure the existence and uniqueness of solutionof the system of generalized nonlinear variational inequalitiesare given, and the convergence analysis of iterative sequencesgenerated by the algorithms are also discussed.
참고문헌 (9)
- T. Cai, "Existence ofsolutions for a system of generalized nonlinear implicitvariational inequalities", 8(6), pp.176~183 (2004)
- L. S. Liu, "Ishikawa and Mann iterative processwith errors for nonlinear strongly accretive mappings in Banachspaces", 194, pp.114~125 (1995)
- Z. Liu, "On asystem of general quasivariational like inequalities", 15(2), pp.29~38 (2005)
- H. Z. Nie, "Asystem of nonlinear variational inequalities involving stronglymonotone and pseudocontractive mappings", 6(2), pp.91~99 (2003)
- R. U. Verma, "Approximation-solvability of anew system of nonlinear quasivariational inequalities", 3, pp.47~60 (2000)
- "Computational role of partiallyrelaxed monotone mappings in solvability of a system of nonlinearvariational inequalities", 3, pp.79~86 (2000)
- "Iterative algorithms and a newsystem of nonlinear quasivaritional inequalities", 4, pp.117~124 (2001)
- "Projection methods, algorithms,and a new system of nonlinear variational inequalities", 41, pp.1025~1031 (2001)
- Q. H Wu, "Approximation-solvability of a new system of nonlinear variationalinequalities", 7(8), pp.338~346 (2003)