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We introduce and study a new system of generalized nonlinear mixed variational inclusions in real q-uniformly smooth Banach spaces. We prove the existence and uniqueness of solution and the convergence of some new n-step iterative algorithms with or without mixed errors for this system of generalized nonlinear mixed variational inclusions. The results in… (More)
In this paper, without assumption of monotonicity, we study the compactness and the connectedness of the weakly efficient solutions set to vector equilibrium problems by using scalarization method in locally convex spaces. Our results improve the corresponding results in [X. H. Gong, Connectedness of the solution sets and scalarization for vector… (More)
The purpose of this paper is to study the convergence of a new finite steps iterative sequence with mean errors to a common fixed point for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces. The results presented in this paper extend and generalize some results in the literature.