[PDF] Top 20 2. New Implicit Method for General Nonconvex Variational Inequalities

... the variational inequality, which was introduced and studied by Stampacchia [30] in ...via variational inequalities, see [1-30] and the references ... See full document

... of general random implicit quasi-variational inequalities with random multivalued mappings in Hilbert spaces, construct some random iterative algorithms, and give some existence the- orems of ... See full document

... of variational inequalities. In re- cent years, classical variational inequality and complementarity problems have been extended and generalized to study a wide range of problems arising in ... See full document

... of variational inequalities introduced by Stampacchia [1] in the early 1960s have enjoyed vigorous growth for the last 30 ...years. Variational inequality theory describes a broad spectrum of ... See full document

... generalized implicit vector quasivariational inequality (in short, GIVQVI) which is to find x in X such that x ∈ S ( x ): ∀ y ∈ S x , ∃ v ∈ T x : f v,x, y ∈ − int C x ...This new problem contains the ... See full document

... the general Wiener-Hopf equation (2.5) to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of ... See full document

... some new classes of extended gen- eral nonlinear regularized nonconvex variational inequalities and the extended general nonconvex Wiener-Hopf equations involving three different ... See full document

... powerful new numerical methods to solve, for example, obstacle, unilateral, free, moving and the complex equilibrium ...in variational inequality theory is the development of an efficient numerical ... See full document

... a new iterative method for finding a common element of the set of solutions of a new general system of variational inequalities for two different relaxed cocoercive mappings and ... See full document

... On the other hand, let F : H → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, and let T : H → H be nonexpansive such that FixT / ∅. In 2001, Yamada 6 introduced the so-called hybrid ... See full document

... the general nonconvex quasi variational inclusion problem associated with nonconvex variational inequality ...the general nonconvex quasi variational inequality ... See full document

... “An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings,” Nonlinear ... See full document

... a new class of general nonlinear implicit variational inequalities, which includes the variational inequalities and variational inclusions in 1–28 as special ...a ... See full document

... and 2-uniformly smooth Banach space. In this paper, we propose an implicit iterative method and an explicit iterative method for solving a general system of variational ... See full document

... 18 Y. Yao, Y.-C. Liou, and J.-C. Yao, “An extragradient method for fixed point problems and variational inequality problems,” Journal of Inequalities and Applications, vol. 2007, Article ID 38752, 12 ... See full document

... ric variational inequality problems,” Mathematical Programming, ...for Variational Inequalities, Springer, Berlin, Germany, ...Korpelevich’s method in Banach ... See full document

... the new system of general nonconvex variational inequalities on uniformly prox-regular sets, but also to get rid of the dependence of T on the mapping g and the injective property ... See full document

... Moreover, we established strong convergence of the proposed implicit and explicit itera- tive schemes to a solution of the GSVI, which is the unique solution of a certain variational inequality. Our ... See full document

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

... Let H be a real Hilbert space with the inner product · , · and the norm · . Let T be a nonexpansive operator. The set of fixed points of T is denoted by Fix(T ). In , Moudafi [] introduced the viscosity approximation ... See full document