[PDF] Top 20 Strong Convergence Theorem by Monotone Hybrid Algorithm for Equilibrium Problems, Hemirelatively Nonexpansive Mappings, and Maximal Monotone Operators

... a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a hemirelatively nonexpansive mapping ... 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, ... See full document

... of nonexpansive mappings, and the set of solutions to the variational inequality for a monotone, Lipschitz continuous mapping in a Hilbert space and obtained two strong convergence ... See full document

... Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory ...Zegeye, ... See full document

... new hybrid projection method for approximating a common element of the set of zeroes of a finite family of maximal monotone operators and the set of common solutions to a system of generalized ... See full document

... point problems and variational inequality problems,” Journal of Inequalities and Applications, ...“Strong convergence theorems for a generalized equilibrium problem with a relaxed ... See full document

... relatively nonexpansive mapping, the set of solutions for equilibrium problems and the set of zero points of maximal monotone operators in a uniformly smooth and uniformly convex ... See full document

... called nonexpansive if Sx − Sy ≤ x − y for all x, y ∈ ...iterative algorithm for finding a common element of the solution set of the equilibrium problem ...relatively nonexpansive mapping S in ... See full document

... point algorithm which was first introduced by Martinet ...weak convergence of the proximal point algorithm for maximal monotone ...point algorithm in order to obtain the ... See full document

... strongly monotone mapping and B and G are two maximal monotone ...A strong convergence theorem of the sequence generated by our iterative scheme is proved under suitable ...main ... See full document

... Lemma 2.5 Rockafellar 24. Let E be a smooth, strictly convex, and reflexive Banach space and let A ⊂ E × E ∗ be a monotone operator. Then A is maximal if and only if RJ rA E ∗ for all r > 0. Let E be a ... See full document

... investigated via a regularization algorithm. It is proved that the sequence generated in the regularization algorithm converges strongly to a common solution of the three problems in the framework of ... See full document

... In this paper, motivated and inspired by the above literature, we consider an iterative al- gorithm for finding a solution of split feasibility problem for a point in zeros of a finite sum of α -inverse strongly ... See full document

... two operators which are inverse-strongly monotone and a maxi- mal monotone and in the fixed point set of a mapping which is strictly ...pseudocontractive. Strong convergence theorems are ... See full document

... nonlinear mappings; see, for example, [–]. The Mann iterative algorithm is an efficient method to study the class of nonexpansive ...of nonexpansive mappings is ... See full document

... point theorem for such mappings in a Hilbert ...mean convergence theorem of Baillon’s type [] in a Hilbert ...well-known mappings. For example, an (α, β)-generalized hybrid ... See full document

... important problems have reformulations which require finding zero points, for instance, evolution equations, complementarity problems, mini-max problems, variational inequalities and optimization ... See full document

... We also remark that the viscosity approximation method was first introduced by Moudafi [] in the framework of Hilbert spaces. Moudafi proved that the desired so- lution is not only a fixed point of nonlinear ... See full document

... totically nonexpansive mapping. Let A : C → H be an α-inverse-strongly monotone map- ping, and let B be a maximal monotone operator on ... See full document

... of nonexpansive mappings from C into itself and F : C × C → R a bifunction satisfying ...a strong positive linear bounded operator with coefficient γ > 0, γ is a constant with 0 < γ < ... See full document