[PDF] Top 20 Some results concerning the solution mappings of mixed variational inequality problems

... Remark . From Theorems . and ., the graph of set-valued mapping V is homeo- morphic to M and the graph of a continuous mapping. Easily, we see that the graph of a continuous mapping can be homeomorphic to the graph ... See full document

... introduced some new iterative schemes for finding a common element of the set of solutions of EPΘ and the set of common fixed points of finitely infinitely nonexpansive ...nonexpansive mappings in a Hilbert ... See full document

... domonotone mappings to study vector variational-like inequality problem in Banach ...generalized variational-like inequalities with generalized α -monotone multifunctions stud- ied by Ceng et ... See full document

... nonlinear mixed ordered variational inequalities systems with ordered Lipschitz continuous mappings in ordered Banach ...B-restricted-accretive mappings, a general algorithm for solving the ... See full document

... various variational inequalities ...general variational-like ...for mixed variational- like inequalities, since it is not possible to find the projection of the ...solving ... See full document

... a mixed equilibrium problem, and the set of common solutions of the variational inequalities with inverse strongly monotone mappings in Hilbert ...under some parameter controlling conditions. ... See full document

... generalized mixed equilibrium problems include fixed-point problems, optimiza- tion problems, variational inequality problems, Nash equilibrium problems, and ... See full document

... the problems of finding a common element in the set of solution of variational inequalities for an inverse-strongly monotone mapping and in the set of fixed points of nonexpansive mappings or ... See full document

... generalized mixed equilibrium problems, the set of common fixed points of a finite family of pseudo contraction mappings, and the set of solutions of the variational inequality for an ... See full document

... quasi-variational inequality which is a generalization of the variational inequality problem was introduced first by Bensoussan et ...control problems. The quasi-variational ... See full document

... of mappings in the literature of recent years; see, for example, 12, 13, ...of variational-like inequalities with generalized monotone mappings in Banach ...for variational-like inequalities ... See full document

... Variational inequality theory has appeared as an effective and powerful tool to study and investigate a wide class of problems arising in pure and applied sciences including elas- ticity, ... See full document

... Quite recently, Chantarangsi et al. 50 proved the following convergence theorem for approximation of fixed point of a nonexpansive mapping which is also a common solution to a system of generalized mixed ... See full document

... common solution problems have been extensively studied by many schol- ars; see, for example, [–] and the references ...common solution problem of a monotone variational inequality, ... See full document

... common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance ...the results that have been proved for the class of monotone ... See full document

... common solution method for finding a fixed point of a nonexpansive mapping and a solution of split hierarchical Minty variational inequality ...common solution of a fixed point problem and ... See full document

... collects some definitions and lemma which be use in the proofs for the main results in the next ...section. Some of them are known; others are not hard to ... See full document

... nonexpansive mappings in uniformly smooth spaces. Under some appropriate conditions on the parameters, we prove some strong convergence ...main results to solving fixed point problems of ... See full document

... The problem of finding a common fixed point of a family of nonexpansive mappings has been studied by many authors. The well-known convex feasibility problem reduces to finding a point in the intersection of the ... See full document

... In this section, we present iterative algorithms for solving the variational inequality prob- lem for an injective inverse strongly monotone operator and their convergence analyses. Theorem . Let C be a ... See full document