[PDF] Top 20 Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in hilbert spaces

... design synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x * of finite family ... See full document

... the variational inclusion problem 1.8 is equivalent to variational inequality problem ...plementarity, variational inequalities, optimal control, mathematical economics, equilibria, game ...of ... See full document

... minimization problems; see, for example, 21–24 and the references ...minimization problems have a great impact and influence in the development of almost all branches of pure and applied ...the fixed ... See full document

... of variational inclusions with set-valued maximal monotone mappings and inverse strongly monotone mappings, and the set of solutions of an equilibrium problem in Hilbert ... See full document

... classical variational inclusion problems have been extended and generalized to study a large variety of problems arising in image recovery, economics, and signal pro- cessing; for more details, see ... See full document

... of fixed points of nonexpansive mapping S and the set of solutions of equilibrium problem ...the variational inequality γ f ( q ) − Aq , q − p ≤ 0, ∀ p ∈ F , where F = F ( S ) ∩ EP ( B ) and is also ... See full document

... projection algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of the variational inequality for an inverse-strongly monotone operator and the set of ... See full document

... where λ >  and μ >  are two constants. When λ = μ =  and q = , problem (.) re- duces to problem (.). When X is a Hilbert space, problem (.) becomes problem (.). Therefore problem (.) ... See full document

... split variational inclusion problem and fixed point problem of infinite family of non- expansive operators in a setting of real Hilbert ...practical point of view, ones may point ... See full document

... iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth ...fixed point problems of strict pseudocontractive mappings, variational inequality ... See full document

... The variational inequality problem was initially introduced and studied by Stampacchia [] in ...years, variational inequality problems have been extended to study a large variety of ... See full document

... iterative algorithm for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium prob- lem, and the solution set of the variational ... See full document

... iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, the set of common fixed points of a finite family of pseudo contraction mappings, ... See full document

... equilibrium problems, the set of common fixed points of infinitely many nonexpansive mappings, and the set of solutions of the variational inequality for α-inverse-strongly monotone mappings ... See full document

... an algorithm and showed that their algorithm converges strongly to a solution of ...split variational inequality problem [], split common null point problem and Moudafi’s split ... See full document

... Let C be a nonempty closed convex subset of a real Hilbert space H. Recall that a mapping f : C → C is called contractive if there exists a constant α ∈ 0, 1 such that fx − fy ≤ αx− y for all x, y ∈ C. A mapping T ... See full document

... classical variational inequality (1.2) and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...approximation ... See full document

... (II) If M = ∂ φ : H → 2 H , where φ : H → R ∪ {+∞} is a proper convex lower semi-continuous function and ∂ φ is the sub-differential of φ , then the quasi-variational inclusion problem is equivalent to finding u ∈ ... See full document

... the variational inequality; there are several other problems, for example, the complementarity problem, fixed point problem and optimization problem, which can also be written in the form of an ... See full document

... a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-point set of a strictly pseudocontractive mapping in a real ... See full document