[PDF] Top 20 1. A generalized mean proximal algorithm for solving generalized mixed equilibrium problems

... The generalized mixed equilibrium problem (GMEP) is one of the most general problems appearing in nonlinear ...complementarity problems, saddle point problems, optimization, Nash ... See full document

... is called the resolvent operator associated with M, where l is any positive number and I is the identity mapping. In the worth mentioning that the resolvent operator is nonexpansive, 1-inverse-strongly monotone ... See full document

... point problems, variational inequality problems, minimization problems, optimization problems, variational inequality problems, vector equilibrium problems, Nash ... See full document

... The mixed equilibrium problem (MEP) is very interesting because it covers mathemat- ical programs and optimization problems over equilibrium constraints, hierarchical min- imization ... See full document

... for solving a class of generalized mixed variational inequalities is considered in Hilbert ...iterative algorithm, which consists of a splitting proximal point step followed by a ... See full document

... Corollary 3.4. Let H be a real Hilbert space, C a closed convex subset of H, B : C → H be β- inverse-strongly monotone mappings, and A a strongly positive linear bounded operator of H into itself with coefficient γ > 0. ... See full document

... other problems, for example, the complementarity problem, fixed point problem and optimization problem, which can also be written in the form of an ...several problems arising in physics, engineering, ... See full document

... of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-φ-asymptotically nonexpansive mappings, and null spaces of finite family of γ-inverse strongly ... See full document

... We now have a variety of techniques to suggest and analyze various iterative algorithms for solving variational inequalities and related optimization problems; see [–]. The fixed point theory has played ... See full document

... of equilibrium problems and variational inequalities as special ...for solving variational ...of mixed variational ...an equilibrium problem EP and set of fixed points of a nonexpansive ... See full document

... The generalized mixed equilibrium problems include fixed point problems, variational inequality problems, optimization problems, Nash equilibrium problems, ... See full document

... quasi-equilibrium-like problems involving multi-valued mappings in Hilbert ...of generalized multi-valued mixed quasi-equilibrium-like problems, firstly we develop a perturbed ... See full document

... a generalized mixed equilibrium problem with perturbation for short, GMEPP which includes as a special case the general mixed variational inequality studied by Xia and Huang 14 ...iterative ... See full document

... for solving a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solutions of generalized mixed equilibrium problems and the set of solutions of ... See full document

... In this works, by using the modified viscosity approximation method asso- ciated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and ... See full document

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

... (vi’) for each i = {1, 2} , F i is upper semicontinuous in A B A × × and has compact valued. Then, the (SGQEP 1 ) has a solution. Moreover, the solution set of the (SGQEP 1 ) is closed. Proof. We ... See full document

... In this paper, motivated by Takahashi and Takahashi [], Ceng, Wang and Yao [], Peng and Yao [] and Qin, Shang and Su [], we introduce the general iterative scheme for find- ing a common element of the set of common ... See full document

... a generalized mixed equilibrium problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality problem for an inverse-strongly ... See full document

... In this paper, motivated and inspired by the research going on in this direction, we study the variational inequality (.), and the fixed point and equilibrium problem (.) based on a regularization ... See full document