[PDF] Top 20 A New Iterative Method for Solving General Mixed Variational Inequalities

... 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

... more general setting than in ...of iterative algorithms for solving variational inclusions have been further studied and developed; for more details, we refer to [, , ] and the ... See full document

... an iterative algorithm by multi-step implicit hybrid steepest-descent method for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set ... See full document

... a new system of strongly monotonic variational inequalities and studied the approximation solvability of the system based on the application of a pro- jection ...between variational ... See full document

... the iterative schemes in our Theorems ...the iterative schemes in [12, Proposition ...to solving three problems ...our general implicit iterative scheme ... See full document

... Let H be a real Hilbert space whose inner product and norm are denoted by ·, · and · . Let C be a nonempty, closed, and convex subset of H. Let F : C × C → R be a bifunction, D : C → H be a nonlinear mapping, and ϕ : C → ... See full document

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

... iterative method in this paper is introduced for solving a system of variational inequalities with fixed-point set ...more general variant of the algorithm proposed by ... See full document

... Iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems. Convex minimization problems have a great impact and influence on the development of almost all ... See full document

... our new proposed method is that it does not require a pri- ori the knowledge of the Lipschitz constant of F on any bounded subset of C or the strong monotonicity ...the method is proved and a ... See full document

... a new class of extended general strongly mixed vari- ational inequalities is introduced and studied in Hilbert ...a new iterative algorithm for solving the extended ... See full document

... extragradient method for solving problem ...extragradient method [33] and viscosity approximation method [23], Yao et ...extragradient iterative algorithm for finding a common solution ... See full document

... a new iterative scheme with weak contraction for finding solutions of a new general system of finite variational inequalities (4) for finite different inverse-strongly accretive ... See full document

... projection-contraction method, which generalizes the existing projection-contraction methods, and applied the extended projection-contraction method to the solvability of a general monotone varia- ... See full document

... of variational inequalities is the development of an efficient iterative algorithm to compute approximate ...projection method and its variant forms; see 4, 6–15 ...projection method ... See full document

... complementarity, variational inequalities, optimal control, mathematical economics, equilibria, and game ...of variational inclusions problems have been extended and ...a new iterative ... See full document

... auxiliary variational inequality technique to sug- gest an iterative algorithm for finding the approximate solutions of MVLIP and proved that these approximate solutions converge to the exact solution of ... See full document

... Recently, Plubtieng and Punpaeng [] and Ceng et al. [, ] considered some iterative methods for VIP (.) and its extended versions and got some strong convergence theo- rems. As a generalization of VIP ... See full document

... of mixed inverse variational inequalities is introduced and stud- ...for mixed inverse variational inequalities, suggest a predictor-corrector method for solving ... See full document

... Remark 2.1. Theorem 5.1 of Wang et al. 7 holds true only in the finite-dimensional setting. This is because in the infinite-dimensional setting, a bounded sequence fails, in general, to have a norm-convergent ... See full document