[PDF] Top 20 Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators

... Section 4. Our results represent a generalization of known results in the literature, including Takahashi and Zembayashi 15, Kamimura and Takahashi 12, Li and Song 22, Ceng and Yao 25, and Ceng et al. 16. In particular, ... See full document

... for equilibrium problems and fixed point problems of nonexpan- sive mappings have been extensively ...However, iterative schemes for strict pseudo-contractions are far less developed than those for ... See full document

... A mapping S : C → X is called nonexpansive if Sx − Sy ≤ x − y for all x, y ∈ C. Denote by FS the set of fixed points of S, that is, FS {x ∈ C : Sx x}. Very recently, W. Takahashi and K. Zembayashi 18 proposed an ... See full document

... maximal monotone operator T in a uniformly smooth and uniformly convex Banach space. Strong convergence theorems for these hybrid proximal-type algorithms are established; that is, under appropriate ... See full document

... hybrid iterative scheme for approximating a com- mon solution of the equilibrium problems and the variational inequality problems in a -uniformly convex real Banach space which is also uniformly ...the ... See full document

... The results presented in this article improve and extend the corresponding results announced by Marino and Xu [10], Plubtieng and Punpaeng [14], Cianciaruso et al. [15], Shioji and Takahashi [16], and Shimizu and ... See full document

... introduce iterative schemes based on the extragradient method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points ... See full document

... the problem of finding zeros of maximal monotone operators by hybrid proximal point ...introduce two kinds of iterative schemes, that is, ...a problem of finding a ... See full document

... developed monotone iterative method for casual differential equa- tions with nonlinear boundary ...constructed monotone sequences and alternating sequences from a corresponding linear ...and ... See full document

... and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ... See full document

... cover monotone inclusion pro- blems, saddle point problems, variational inequality problems, minimization problems, optimization problems, variational inequality problems, vector equilibrium problems, Nash ... See full document

... new iterative method for finding a common element of the set of solutions of a generalized equilibrium problem with a relaxed monotone mapping and the set of common fixed points of a ... See full document

... for equilibrium problems, the set of zero points of maximal monotone operators and set of fixed points for strongly relatively nonexpansive map- ping in a uniformly convex and uniformly smooth ... See full document

... In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong ... See full document

... of maximal monotone operators and related topics (see ...for maximal monotone operators, relatively nonex- pansive mappings and equilibrium ...Halpern iterative ... See full document

... η-subdifferential operators, maximal η-monotone operators, generalized monotone operators (named H-monotone operators), A-monotone opera- tors, (H ... See full document

... be two bifunctions from C × C to R which satisfy ...strongly monotone mapping, B : C → H a β-inverse-strongly monotone mapping, T : C → H an λ-inverse-strongly monotone mapping, and S : C → C ... See full document

... hand, iterative methods for nonexpansive mappings have recently been ap- plied to solve convex minimization problems; see, ...typical problem is to minimize a quadratic function over the set of fixed points ... See full document

... general iterative scheme for approximating a point of F(T )∩ (A+B) –  ∩ G –  = ∅, where T is a λ-hybrid self-mapping on C, A : C → H is an α-inverse strongly monotone mapping and B and G are two ... See full document

... Kartsatos and Skrypnik [] obtained the following result by using Browder’s degree in [] for multi-valued operators. As in [], we adopt property ( P ) in terms of the Brezis- Crandall-Pazy approximant so that ... See full document