[PDF] Top 20 Convergence theorems for split equality mixed equilibrium problems with applications

... general split feasibility problems and general split equality problems in real Hilbert spaces, and un- der suitable conditions some strong convergence theorems have been ... See full document

... generalized equilibrium problem, of a solution set solutions of a variational inequality problem and of a fixed point set of a strict ...Strong convergence theorems are established in the framework ... See full document

... The purpose of this paper is to propose a modified hybrid method in mathematical programming and to obtain some strong convergence theorems for common fixed points of a countable family of Lipschitzian ... See full document

... of equilibrium problems and the set of fixed points of a nonexpansive mapping in a real Hilbert ...strong convergence theorems are ...’ mixed equilibrium problems and ... See full document

... the split equality generalized mixed equilibrium ...strong convergence theorems are proved for demi-contractive mappings in real Hilbert ...As applications, we employ our ... See full document

... of equilibrium prob- lems and contains several important problems as special ...of equilibrium problems, optimization problems, game problems, complementary problems, ... See full document

... strong convergence theorems for finding a common element of the set of solutions of a finite family of split equilibrium problems and the set of common fixed points of a countable family ... See full document

... generalized mixed equilibrium problems, and the set of solutions to a variational inequality problem in a real Hilbert ...strong convergence of the scheme to a common element of the three ... See full document

... several convergence theorems announced by many authors but also prove them under weaker ...assumptions. Applications to the problem of finding a common element of the fixed point set of a relatively ... See full document

... general split equality fixed point problem and general split equality problem in a Hilbert ...strong convergence of the proposed algorithms to a solution of GSEFP and ...As ... See full document

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... Equilibrium problems theory provides us a natural, novel and unified framework to study a wide class of problems arising in economics, finance, transportation, network and struc- tural analysis, ... See full document

... consider split equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, ... See full document

... a split variational inclusion problem and give several strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method, the regularized iteration ...As applications, ... See full document

... strong convergence theorems in real Hilbert ...multiple-set split feasibility problem for asymptotically strict pseudocontraction in the framework of infinite-dimensional Hilbert ... See full document

... of problems was first introduced by Censor and Elfving [] for modeling inverse problems arising from phase retrievals and in medical image recon- struction ... See full document

... Recently, fixed point iterations of relatively nonexpansive mappings and quasi-φ -nonexpansive mappings have been considered by many authors; see, for example [1-12] and the references therein. In 2005, Matsushita and ... See full document

... The set of solutions of 1.1 is denoted by EPF. Given a mapping T : C → H, let Fx, y Tx, y − x for all x, y ∈ C. Then, z ∈ EPF if and only if Tz, y − z ≥ 0 for all y ∈ C. Numerous problems in physics, optimization, ... See full document

... weak convergence the- orems in infinite dimensional Hilbert spaces for the split feasibility problem (see Theo- rems ...the split feasibility problem which converges strongly to the split ... See full document

... these algorithms, it requires to solve approximation auxiliary equilibrium problems for finding a common solution of an equilibrium problem and a fixed point problem. In order to avoid this ... See full document