[PDF] Top 20 Hybrid algorithms for equilibrium and common fixed point problems with applications

... of equilibrium and common fixed point problems in Hilbert ..., applications are provided to support the main results of this ... See full document

... iterative algorithms by hybrid method for finding a common element of the set of solutions of fixed points of infinite family of nonexpansive mappings, the set of common solutions of ... See full document

... a common fixed point x ∗ ∈ F(T ) , where F(T ) denotes the set of common fixed point of the nonexpansive ...The point x * solves the variational in-equality 〈(g f −A ) x* ... See full document

... split common fixed point problem (SCFPP) where split feasibility problem becomes a special case of ...optimization problems in a Hilbert space can be written in the form of SCFPP and SCFPPs have ... See full document

... the equilibrium problems are unified models of several prob- lems, namely, optimization problems, saddle point problems, variational inequalities, fixed point problems, Nash ... See full document

... Yamada’s hybrid steepest-descent method [20] and Colao, Marino and Xu’s hybrid viscosity approximation method [14] (see also [10]), we intro- duce a hybrid iterative method for finding a ... See full document

... F(x, y) + ϕ(y) – ϕ(x) + Dx, y – x ≥ , ∀ y ∈ C. (.) The set of solutions of (.) is denoted by GMEP(F, ϕ, D). The GMEP is very general in the sense that it includes, as special cases, optimization problems, ... See full document

... such problems, we have to obtain some solution which is simultaneously the solution of two or more subproblems or the solution of one subproblem on the solution set of another ...inequality problems or two ... See full document

... a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of infinitely many nonexpansive mappings in a real Hilbert ...a common ... See full document

... )-generalized hybrid mapping. Kocourek, Takahashi and Yao [] proved a fixed point theorem for such mappings in a Hilbert ...β)-generalized hybrid mapping T is nonexpansive for α =  and β = , ... See full document

... a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem and of a fixed point set of a strict ... See full document

... be the metric projection of H onto the closed convex subset C. Let S : C ® C be a nonexpansive mapping, that is, ||Sx - Sy|| ≤ ||x - y|| for all x, y Î C. We denote by F (S) the set fixed point of S. If C ⊂ ... See full document

... Multi-step hybrid viscosity method for systems of variational inequalities defined over sets of solutions of equilibrium problem and fixed point ...problems. Fixed Point Theory ... See full document

... new hybrid iterative scheme for finding a common element of the set of common fixed points of asymptoti- cally nonexpansive mappings and the set of solutions of an equilibrium problem in Hilbert ... See full document

... a common element of the fixed point set of these mappings and the solution set of a system of equilibrium problems by using hybrid ... See full document

... Takahashi and Toyoda [28] illustrated that if S : C → C is a nonexpansive mapping and I is the identity mapping on H , then f = I – S is 1 2 -inverse strongly monotone and VI(C, f ) = Fix(S). Motivated and inspired by ... See full document

... tion of H onto C. In the sequel, we denote by → and the strong convergence and weak convergence, respectively. Let φ : C → be a real-valued function and : C × C → be an equilibrium bifunctions, i.e., (u, u) =  ... 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

... finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of an infinite family of nonexpansive mappings,” Nonlinear Analysis: Theory, Methods ... See full document

... split common fixed point problem for directed ...split common fixed-point problem for demi-contractive ...Cyclic algorithms for split feasibility problems in Hilbert ...split ... See full document