[PDF] Top 20 Some Implicit Methods for Solving Harmonic Variational Inequalities

... for solving various problems. Noor [13] used the harmonic mean to suggest some iterative methods for solving nonlinear ...weighted harmonic means, one usually defines the ... See full document

... nonconvex variational inequality () ...for solving problem () do not ...nonconvex variational in- equality (RNVI) () and the nonconvex Wiener-Hopf equation (NWHE) ...analyzed some explicit ... See full document

... Various methods have been suggested to find the solution of problem ...of variational inequalities by decomposing the original problem into a series of subproblems with a lower ...practical, ... See full document

... quasi-variational inequalities, which is called the general nonconvex quasi-variational inequality on the uniformly prox-regular sets, It is well-known [3,24] that the prox-regular sets are nonconvex ... 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 Analysis: ... See full document

... the variational inequality VIC, A of finding u ∈ C such that Au, v−u ≥ 0, for all v ∈ ...hierarchical variational inequality HVIC, A, f Find x ∈ VIC, A such that I − f x, x − x ≥ 0, for all x ∈ VIC, ...an ... See full document

... The aim of this paper is to develop an algorithm, inspired by Fu [], for solving varia- tional inequalities. More precisely, in the first method, a new iterate is obtained by search- ing the optimal step ... See full document

... We suggest new dual algorithms and iterative methods for solving monotone generalized variational inequalities. Instead of working on the primal space, this method performs a dual step on the ... See full document

... For more algorithms, please see, for instance, [–] and the references therein. Summarizing the above algorithms, we know that these papers have mainly used the auxiliary principle, the projection technique and ... See full document

... Motivated and inspired by the above facts, we introduce and analyze two iterative meth- ods for solving Problem ., that is, THVIP .. By combining Korpelevich?s extragradient method, the viscosity approximation ... See full document

... for solving variational inequality prob- ...type methods, the complexity of the domain X is not an issue for approaches based on the KKT ...smoothing methods and their fast convergence results ... See full document

... (iii) the iterative schemes in our Theorems 3.1, 3.2, and 3.3 are more advantageous and more flexible than the iterative schemes in [12, Proposition 3.3, Theorem 3.4, and Theorem 3.7], because they can be applied to ... See full document

... classical variational inequality introduced and studied by Stampacchia [3] in ...numerical methods and formula- tions, (see for example [3-10]) and the references ...The variational ... See full document

... for solving variational inequality VIC, F of finding a point x ∗ ∈ C such that Fx ∗ , x − x ∗ ≥ 0, for all x ∈ C, where C is the set of fixed points of a strict pseudocontraction, or the set of common fixed ... See full document

... In , Huang [] studied problem (.) in the case where R is maximal monotone and B is strongly monotone and Lipschitz-continuous with D(R) = C = H. Subsequently, Zeng et al. [] further studied problem (.) in the ... See full document

... Based on Lemma 3.1, we are now in a position to propose the following generalized and unified new projection-contraction iterative algorithm for solving the problem (1.1). Algorithm 3.2. Let D be a nonempty subset ... See full document

... new implicit iterative projection method for solving general nonconvex variational ...new implicit method is equivalent to the modified projection ...the implicit method and the ... See full document

... of variational inequalities is called the mixed variational in- equality involving the nonlinear ...iterative methods for solving the mixed variational ...mixed ... See full document

... two implicit iter- ative algorithms and two explicit iterative algorithms by hybrid viscosity approximation methods for finding a common element of the set of solutions of GSVI ...prove some strong ... See full document

... propose implicit and ex- plicit algorithms based on Korpelevich’s extragradient method [], viscosity approxima- tion method [] and Mann’s iterative method [] to find approximate solutions of GSVI ...these ... See full document