[PDF] Top 20 Algorithms for treating equilibrium and fixed point problems

... 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

... mixed equilibrium problems, a general system of generalized equilibria and a fixed point problem of nonexpansive mappings in a real Hilbert ... See full document

... iterative algorithms with variable coefficients for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of the variational inequality problem for a ... See full document

... VIPs, fixed point problems, complementarity problems, opti- mization problems, Nash equilibrium problems in noncooperative games, etc (see ...several problems ... See full document

... and equilibrium problems have been applied to solve convex minimization problems see ...the fixed points of a nonexpansive mapping on a real Hilbert space ... 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

... fixed point problems, the origin of which can be traced back to Lions and Stampacchia ...iterative algorithms in the literature for finding approximate solutions of VIP ... See full document

... Iterative algorithms have emerged as an effective and powerful tool for studying a wide class of problems which arise in economics, finance, image reconstruction, ecology, trans- portation, network, ... See full document

... hybrid algorithms for the variational inequalities and mixed equilibrium problems over the common fixed points set of nonexpansive semigroups in Hilbert ...hybrid algorithms are ... See full document

... 14. Censor, Y, Segal, A: The split common fixed point problem for directed operators. J. Convex Anal. 16, 587-600 (2009) 15. Moudafi, A: The split common fixed-point problem for demi-contractive mappings. ... See full document

... of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, 2000), ... 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

... many algorithms for solving variational inclusions see 3, 5, 7, 8, 10–13, 16–20 and the references ...of fixed points of nonexpansive mappings in Hilbert ...arbitrary point x 1 x ∈ H, define ... See full document

... In fact, some efforts to construct the algorithms for solving the equilibrium problems have been carried out. For instance, Moudafi [] presented an iterative algorithm and proved a weak convergence ... See full document

... of equilibrium problem and fixed point problems. Fixed Point Theory ...of equilibrium and variational inequality problems via multi-step iterative algorithms and ... See full document

... The equilibrium problem includes the fixed point problem, the variational inequality problem, the optimization problem, the saddle point problem, the Nash equilibrium problem and so on, as its ... See full document

... Now, we prove the following strong convergence theorem of Halpern’s type [] for find- ing a common solution of a monotone inclusion problem for the sum of two monotone mappings, of a fixed point problem for ... See full document

... In this paper, we introduce a hybrid iterative method for finding a common element of the set of common solutions of generalized mixed equilibrium problems and the set of common fixed points of an ... See full document

... Yang, L, Zhao, F, Kim, JK: Hybrid projection method for generalized mixed equilibrium problem and fixed point problem of infinite family of asymptotically quasi-φ -nonexpansive mappings in[r] ... See full document

... We introduce an Ishikawa iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive ... See full document