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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 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)
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, we introduce and study a new class of generalized nonlinear quasi-variational-like inequalities for set-valed mappings in Banach spaces. Using the KKM technique, we prove the existence and uniqueness of solution for this class of generalized nonlinear quasi-variational-like inequalities for set-valued mappings in Banach spaces. Our results(More)
Copyright q 2011 Ming-ge Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We first prove that the product of a family of LΓ-spaces is also an LΓ-space. Then, by using a Himmelberg(More)
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