N. J. Huang

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The purpose of this paper is to introduce and study a new system of set-valued varia-tional inclusions with H-monotone operators in Hilbert spaces. By using the resolvent operator method associated with H-monotone operator due to Fang and Huang, we construct a new iterative algorithm for solving this kind of system of set-valued variational inclusions. We(More)
In this paper, we introduce and study a new class of generalized set-valued nonlinear quasi-variational-like inequalities in Hilbert spaces and construct some iterative algorithms to compute the approximating solutions of this class of generalized set-valued nonlinear quasi-variational-like inequalities by using the auxiliary principle technique. We also(More)
In this paper, we introduce and study a new class of generalized nonlinear mixed quasi-variational inequalities. Using the KKM technique, we prove the existence and uniqueness of solutions for this class of generalized nonlinear mixed quasi-variational inequalities in reflexive Banach spaces. Our results include the main results of Verma [1], [2] as special(More)
In this paper, we introduce a new class ofcompletely generalized strongly nonlinear implicit quasivariational inclusions and prove its equivalence with a class of fixed point problems by using some properties of maximal monotone mappings. We also prove the existence of solutions for the completely generalized strongly nonlinear implicit quasivariational(More)
In this paper, a new class of strongly nonlinear quasi-variational inclusions involving H-accretive operator in Banach spaces is studied, which includes many variational inequal-ity(inclusion) and complementarity problems as special cases. By using the resolvent operator technique for H-accretive operator due to Fang and Huang, an existence and uniqueness(More)
In this paper, a new system of general nonlinear variational inclusions involving (A, η)-accretive mappings in Banach spaces is introduced and studied, which includes many variational inequality (inclusion) problems as special cases. By using the resolvent operator technique for (A, η)-accretive mapping due to Lan-Cho-Verma, an existence and uniqueness(More)
The proposed objectives for the year 2011 were: Error bounds for vector-linear programming (documentation) Metric regularity and constraint quali…cation conditions (documentation) Concerning the …rst objective, i.e., Error bounds for vector-linear programming, we …rstly mention a celebrated result of Ho¤man (1952) which considers the system of linear(More)
In this paper, we introduce and study a new class of generalized nonlinear multi-valued quasi-variational-like inclusions with H-monotone operators in Hilbert spaces. By using the resolvent operator method associated with H-monotone operator due to Fang and Huang, we construct a new iterative algorithm for solving this kind of nonlinear multi-valued(More)
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