[PDF] Top 20 Convergence and stability analysis of iterative algorithm for a generalized set-valued mixed equilibrium problem

... of equilibrium problems is the development of an efficient and implementable iterative algo- ...of iterative schemes have been proposed for solving equilibrium problems and variational ... See full document

... A set-valued mapping M : H ® 2 H is called monotone if for all x, y Î H, f Î M(x) and g Î M(y) imply 〈 x - y, f - g 〉 ≥ 0. A monotone mapping M is maximal if its graph G(M) := {(f, x) Î H × H : f Î M(x)} of ... See full document

... two iterative algorithms for finding a common element of the set of fixed points of a quasi- φ -asymptotically nonexpansive multivalued mapping and the sets of solutions of generalized mixed ... See full document

... general generalized equilibrium problems (.) and a fixed point problem of a nonexpansive mapping in a Hilbert ...of equilibrium problems in the setting of metric ...an iterative ... See full document

... strong convergence theorems to approximate a fixed point of a single relatively nonexpansive ...some convergence theorems to approximate a common fixed point of quasi-φ-nonexpansive mappings or quasi-φ- ... See full document

... “Strong Convergence of Krasnoselskii and Mann’s Type Sequences for One-Parameter Nonexpan- sive Semigroups without Bochner Integrals,” Journal of Mathematical Analysis and Applications, ... See full document

... an iterative algorithm for finding the common element of the set of solutions for the generalized mixed equilibrium problems, the common fixed points set of two ... See full document

... 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 ... See full document

... strong convergence theorem in uniformly convex and 2-uniformly smooth Banach ...general iterative method for a general system of variational inclusions and proved a strong convergence theorem in ... See full document

... of generalized multi-valued mixed quasi-equilibrium- like problems and a perturbed system of auxiliary generalized multi-valued mixed quasi- equilibrium-like ... See full document

... real valued func- tion. We use GMEP G A ( , , ) ϕ to denote the solution set of generalized mixed equilibrium problem ... See full document

... new iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, the set of common fixed points of a finite ... See full document

... The problem (2) is very general in the sense that it includes many special cases such as optimization problems, variational inequalities, minimax problems, and the Nash equi- librium problem in ... See full document

... of generalized nonlinear mixed quasivariational ...of generalized nonlinear mixed quasivariational inclusions and prove the convergence of the iterative sequences generated by ... See full document

... strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem, the set of solutions of a variational inclusion and the set of common ... See full document

... Recently, Tada and Takahashi [] investigated fixed points of nonexpansive mappings and solutions of equilibrium problem (.). They obtained the following result. Let F be a bifunction from C × C to R ... See full document

... an iterative scheme to find the common solution of GEP ...strong convergence of the sequences generated by the iterative algorithm, which improves and extends the corresponding results of [, ... See full document

... librium problem (.). The results obtained in this paper improve and extend the recent results announced by Qin et al. [], Chen et al. [], Combetters and Hirstoaga [], Iiduka and Takahashi [], Marino and ... See full document

... inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, 2000), ... See full document

... multivalued mapping and Φ : H × C × C → R the equilibrium-like function satisfying the conditions Φ1–Φ3. Assume that η : C × C → H is a Lipschitz function with Lipschitz constant λ > 0 which satisfies the ... See full document