[PDF] Top 20 Superimposed algorithms for the split equilibrium problems and fixed point problems

... 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

... the split feasibility problem, which is to find an element of a closed convex subset of the Euclidean space whose image un- der a linear operator is an element of another closed convex subset of a Euclidean ...the ... 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

... of split equilibrium problem of pseu- domonotone and Lipschitz-type continuous bifunctions and split fixed point problem of nonexpansive mappings in real Hilbert ... See full document

... well-known problems were variational problems, complementary problems, fixed point problems, saddle point problems and other problems proposed from the ... See full document

... generalized equilibrium problem, the set of solutions of the variational inequality problem for an inverse-strongly monotone mapping and the set of common fixed points of a finite family of nonexpansive ... See full document

... iterative algorithms for solving equi- librium problems in finite-dimensional ...the equilibrium problem and proved the strong convergence theorem for approximating the solutions of the ... See full document

... and equilibrium problem [–], which include the fixed point problems and optimization problems [–], have been studied by many ... See full document

... of split mixed equilibrium problems and the set of fixed points of λ-hybrid multivalued mappings in real Hilbert spaces and give a numerical example to support our main ... See full document

... Let H be a real Hilbert space with the inner product ·, · and the norm · . Let C be a nonempty, closed and convex subset of H, and let T : C → C be a nonlinear mapping. Throughout this paper, we use F(T ) to denote the ... See full document

... a split equilibrium problem and nonexpansive mapping (SEPNM) in real Hilbert spaces, in which the first bifunction is pseudomonotone with respect to its solution set, the second bifunction is monotone, and ... See full document

... inequality problems, generalized equilibrium problems, convex minimization problems, and fixed point problems, we can also refer to [–] and the references ...above-mentioned ... See full document

... Denote the set of solutions of MEP by . The MEP includes fixed point problems, opti- mization problems, variational inequality problems, Nash EPS and the EP as special cases. Recall that a ... See full document

... However, algorithm (1.2) cannot be used to solve VIP when f is monotone and k-Lipschitz continuous, which can be seen from the counterexample in [43]. During the last decade, many authors devoted their attention to ... See full document

... finite split generalized equilibrium problems; (ii) finite variational inequality problems; and (iii) fixed point problem of a finite collection of demicontractive ... See full document

... Let F be a bifunction from C × C to R, where R denotes the set of real numbers. Recall the following equilibrium problem. Find p ∈ C such that F(p, y) ≥ , ∀ y ∈ C. We use EP(F) to denote the solution set of the ... See full document

... It has been extensively studied during the last decade because of its applications in mod- eling inverse problems which arise in phase retrievals and in medical image reconstruc- tion. It has also been applied to ... See full document

... Bifunction equilibrium problems, which include many important problems in nonlinear analysis and optimization, such as the Nash equilibrium problem, variational inequalities, complementarity ... See full document

... We will introduce and analyze a general iterative algorithm for finding a common solu- tion of MEP (.), GSVI (.) and the fixed point problem of infinitely many nonexpansive mappings in a real Hilbert space. Under ... See full document