[PDF] Top 20 A generalized system of variational inequalities in a Banach space

... be Banach spaces, T : D(T ) ⊂ X → Y , the operator T is said to be compact if it is continuous and maps the bounded subsets of D(T ) onto the relatively compact subsets of Y ; the operator T is said to be weak to ... See full document

... Let E be a real Banach space with its dual space E ∗ and let C be a nonempty closed convex subset of E. Throughout this paper, we denote the norm of E and E ∗ by the same symbol ·. We use the symbols ... See full document

... of variational inequalities (inclusions) is quite application oriented and thus developed much in recent years in many different ...ordered variational inequalities and ordered equations was ... See full document

... the variational inequality problem over the fixed point set of nonlinear mapping and applicable to a broad range of convexly constrained nonlinear inverse problems in real Hilbert ...of variational distance ... See full document

... Lemma . (see []) Let X be a uniformly smooth Banach space, or a reflexive and strictly convex Banach space with a uniformly Gateaux differentiable norm. Let C be a nonempty closed convex ... See full document

... new system of generalized mixed variational inequalities involving different three multi-valued ...a generalized f -projection method for finding the solutions of generalized ... See full document

... smooth Banach space, and then another composite Mann iterative algorithm in a uniformly convex Banach space having a uniformly Gâteaux differentiable ... See full document

... where C is a nonempty closed convex subset of a real Banach space E. We use S(C, A) to denote the solution set of (.). The generalized variational inequality (.) is connected with the fixed ... See full document

... of variational inequalities is the development of an efficient iterative algorithm to compute approximate ...type variational inequalities in Banach ...mixed variational ... See full document

... On the other hand, recently, under some different con- ditions, [10,11] obtained some existence theorems of nonzero solutions for a class of generalized variational inequalities by fixed point index ... See full document

... for variational inequalities with nonsmooth unbounded operators in Banach space,” Numerical Functional Analysis and Optimization, ...to variational inclusions with accretive type ... See full document

... By using fixed point index approach for multivalued mappings, the existence of nonzero solutions for a class of generalized variational inequalities is studied in reflexive Banach ... See full document

... The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose ... See full document

... The generalized variational inequalities find application in economics and transporta- tion equilibrium, engineering sciences, etc. and have received much attention in the past decades [–]. It is ... See full document

... of system of variational inequalities, Agarwal et ...a system of generalized nonlinear mixed quasivariational inclusions and investigated the sensitivity analysis of solutions for this ... See full document

... reflexive Banach spaces, where the set of all admissible elements is nonconvex but ...responding variational formulations are no longer variational inequalities but, instead, become ... See full document

... cocoercive nonlinear variational inequalities in Hilbert spaces is studied, based on the convergence of the projection methods. The results presented in this paper extend and improve the main results of ... See full document

... the system of general variational inequalities which is equivalent to the general variational inequality problem over the product of ...general variational inequality problem over the ... See full document

... [1] R. P. Agarwal, Y. J. Cho, J. Li, and N. J. Huang, Stability of iterative procedures with errors approx- imating common fixed points for a couple of quasi-contractive mappings in q -uniformly smooth Banach ... See full document

... The equilibrium problem is a generalization of classical variational inequalities. This problem contains many important problems as special cases, for instance, optimization, Nash equilibrium, ... See full document