[PDF] Top 20 Systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces

... real Hilbert space, whose inner product and norm are denoted by 〈·, ·〉, and ||·||, ...be nonlinear set-valued mappings, g : H ® H be a single- valued mapping, and : H ® (- ∞ , + ∞ ] be ... See full document

... new general systems of set-valued variational inclusions involving relative (A, η )-maximal monotone operators in Hilbert ...the general systems of ... See full document

... of general mixed quasivariational inclusions involving A, η-accretive mappings in q-uniformly smooth Banach ...of nonlinear A, η-monotone operator inclusion systems involving nonmonotone ... See full document

... generalized nonlinear ordered variational inclusion problems (inequalities, systems, and equations) in ordered Banach spaces; for example, in , Li has introduced and studied ... See full document

... the variational problem is to transfer the variational inequality into an operator equation, and then transfer the operator equa- tion into the fixed point ...new systems of generalized ... See full document

... solution set and an arbitrary feasible ...vector variational inequalities (GVVI) and obtained the error bounds for GVVI in terms of the regularized gap ...constrained mixed ... See full document

... generalized set- valued strongly nonlinear mixed implicit quasi-variational-like inequalities problem ...auxiliary variational inequalities ... See full document

... generalized variational inequalities on non-convex ...constrained inequalities umbrella frame- work for variational and quasi-variational ...on general systems of ... See full document

... years, variational inequalities have been generalized and extended in many different directions using novel and innovative techniques to study wider classes of unrelated problems in mechanics, ... See full document

... Let H be a real Hilbert space with the inner product · , · and the norm · . Let C be a nonempty, closed and convex subset of H, and let T : C → C be a nonlinear mapping. Throughout this paper, we use F(T ) ... See full document

... the mixed vari- ational inequalities is that the resolvent step involves the subdifferential of the proper, convex and lower semicontinuous part only and the other part facilitates the problem de- ... See full document

... of variational inequalities, called variational inclusions, have been extensively studied and generalized in different directions to study a wide class of problems arising in mechanics, ... See full document

... minimization problems; see, for example, 21–24 and the references ...minimization problems have a great impact and influence in the development of almost all branches of pure and applied ...the set ... See full document

... Recently, variational inequality theory has been extended and applied in various direc- tions, see [6, 7, 8, 9, 10] and the references ...several nonlinear variational-like inequalities in ... See full document

... One can see that the variational inequality problem (1.2) is equivalent to a fixed point prob- lem. That is, an element u ∈ C is a solution of the variational inequality (1.2) if and only if u ∈ C is a ... See full document

... of variational inclusion problem on metric spaces to study opti- mization problems, set-valued vector saddle point problems, bilevel problems, and mathematical programs ... See full document

... study variational inequality is to convert it into an identical optimization ...transform variational inequality into an identical optimization ...of variational inequality problems; as for ... See full document

... quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector ...solution set for the system of generalized strong vector quasiequilibrium ... See full document

... of variational inequalities and variational-like inequalities as special cases of the problem ...more general and a unifying one, which is also one of the main motivations of this ... See full document

... By using the KKM technique [20] and the Nadler’s result [19], we prove some exis- tence theorems of solutions for this class of generalized vector equilibrium-like problems. Furthermore, these existence theorems ... See full document