[PDF] Top 20 A Korpelevich like algorithm for variational inequalities

... 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 point problem for ... See full document

... Let H be a real Hilbert space whose inner product and norm are denoted by · , · , and · , respectively. Let D be a nonempty convex subset of H. Let T, A : D → H , and η : D × D → H be mappings, and let f : D → R be a ... See full document

... nonlinear variational-like inequali- ties and prove an existence theorem of solutions for this kind of generalized nonlinear variational-like ...nonlinear variational-like in- ... See full document

... solving variational-like in- equalities due to the presence of the function η( · , · ...iterative algorithm for solving generalized mixed quasi variational-like ...quasi ... See full document

... mixed variational-like inequalities, which includes several classes of variational inequalities and variational-like inequalities as special ...iterative ... See full document

... pseudomonotone variational inequalities in a real Hilbert ...proposed algorithm is based on Korpelevich’s ex- tragradient method, Mann’s iteration method, hy- brid steepest-descent method and ... See full document

... Variational inequalities were introduced and studied by Stampacchia [11] in early ...of variational inequalities. Variational inequali- ties have been generalized and extended in ... See full document

... fuzzy variational-like inequality ...fuzzy variational-like inequality ...iterative algorithm for this kind of fuzzy variational-like ... See full document

... solving variational-like inequalities ...the variational-like inequalities are only well defined in the setting of invex- ...problems, variational inequalities, and ... See full document

... ear variational-like inequalities, which includes several kinds of variational-like inequal- ities as special ...nonlinear variational-like inequality are ...iterative ... See full document

... of Korpelevich ’ s extragradient method [6], Nadezh- kina and Takahashi [7] introduced an iterative scheme, called extragradient method, for finding an element of F(S) ∩ Ω and established the weak convergence ... See full document

... would like to thank the National Research University Project of Thailand’s Office of the Higher Education Commission for financial support under the project NRU-CSEC ...would like to thank the Faculty of ... See full document

... Recently, Fang and Huang [7] gave some more results related to the work [2] in the area of solvability for strong vector variational inequalities in Banach spaces. They estab- lished two existence theorems ... See full document

... vector variational-like inequalities and multi-objective programming ...discussed variational-like inequalities are proposed by using the KKM-Fan ... See full document

... This method is the so-called inexact hybrid proximal algorithm for solving problem (1.1). Obvious that problem (3.7) is solved only approximately and the residue ξ k Î H satisfying (3.3). There are at least two ... See full document

... The authors would like to thank the referee for a critical reading of the manuscript and many valuable suggestions. This work was supported by the Science Research Founda- tion of Educational Department of ... See full document

... proximal algorithm for solving quasimono- tone variational inequalities is proposed, and the global convergence is obtained under more assumptions than S D = ∅ and ... See full document

... the variational inequality problems over the inter- section of the fixed-point sets of nonexpansive map- pings, in: Inherently Parallel Algorithms in Feasi- bility and Optimization and Their Applications, ... See full document

... We have established a convergence order of Schwarz algorithm for two overlapping subdomains with non- matching grids. This approach developed in this paper relies on the geometrical convergence and the error ... See full document

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