[PDF] Top 20 A new extragradient algorithm for split equilibrium problems and fixed point problems

... the equilibrium problem is denoted by EP(f ). The equilibrium prob- lem is a generalization of many mathematical models such as variational inequalities, fixed point problems, and optimization ... See full document

... two equilibrium problems, that is, we find out the solution of one equilibrium problem, ...another equilibrium problem. In order to find a common solution of equilibrium problems, ... See full document

... Remark . Theorem . and Corollary . extend the corresponding one of Kazmi and Rizvi [] from a nonexpansive mapping to a finite of family of nonexpansive mappings and from a split equilibrium problem ... See full document

... solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces and prove that the modified Mann iteration converges weakly to a common ... See full document

... linesearch algorithm which combines the extragradient method incor- porated with the Armijo linesearch rule for solving the problem (FPSCSEP) in real Hilbert spaces under the assumptions that the first ... See full document

... The equilibrium problems, in its various forms, found application in optimization prob- lems, fixed point problems, and convex minimization problems; in other words, equi- librium ... See full document

... a new parallel hybrid viscosity iterative method for finding a common element of three solution sets: (i) finite split generalized equilibrium problems; (ii) finite variational inequality ... See full document

... On the other hand, Korpelevich [] introduced an iterative method, the so-called ex- tragradient method, for finding the solution of a saddle point problem. He proved that the sequences generated by the proposed ... See full document

... a new hybrid extragradient viscosity approximation method for finding the common element of the set of equilibrium problems, the set of solutions of fixed points of an infinitely many ... See full document

... and equilibrium problems, which arise in several branches of pure and applied sciences in a unified and general ...optimization problems, see, ...Korpelevich’s extragradient method which was ... See full document

... a new iterative algorithm by the relaxed extragradient-like method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of solutions of ... See full document

... is called the resolvent operator associated with M, where λ is any positive number and I is the identity mapping. In the worth mentioning that the resolvent operator is nonexpan- sive, -inverse-strongly monotone and ... See full document

... solving split mixed equilibrium problems and fixed point problems of λ -hybrid multivalued mappings in real Hilbert spaces and prove that the proposed iterative algorithm ... See full document

... mixed equilibrium problems, the set of common fixed points for nonexpansive semigroup and the set of solution of quasivariational inclusions with multivalued maximal monotone mappings and ... See full document

... It is linked with some monotone variational inequalities and convex programming prob- lems; see []. Various methods have been proposed to solve (.); see, for example, [– ]. By combining Korpelevich’s ... See full document

... Corollary 3.7. Let C be a nonempty closed convex subset of a real Hilbert space H and let ϕ : C → R be a lower semicontinuous and convex functional. Let Θ : C × C → R be an equilibrium bifunction satisfying ... See full document

... a new iterative scheme based on the extragradient method for finding a common element of the set of solutions of a generalized mixed equilibrium prob- lem, the set of fixed points of nonexpansive ... See full document

... a new extragradient method ...common fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem, and the solution set of the classical variational inequality problem ... See full document

... iterative algorithm for approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium ...proposed algorithm under some ... See full document

... The solution set of the variational inequality 1.1 is denoted by VIA, C. Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of obstacle, ... See full document