[PDF] Top 20 Strong convergence for variational inequalities and equilibrium problems and representations

... and n ∈ N . In this paper, motivated by Lau, Miyake and Takahashi [9], Atsushiba and Taka- hashi [2], Shimizu and Takahashi [16] and Taka- hashi [21], in Theorem 3.1, we use the harmonic concepts for improving the ... See full document

... Variational inequalities introduced by Stampacchia 1 in the early sixties have had a great impact and influence in the development of almost all branches of pure and applied ...the variational ... See full document

... Motivated and inspired by the above facts, we introduce and analyze two iterative meth- ods for solving Problem ., that is, THVIP .. By combining Korpelevich?s extragradient method, the viscosity approximation ... See full document

... that variational inequality, as a greatly important tool, has already been stud- ied for a wide class of unilateral, obstacle, and equilibrium problems arising in several branches of pure and applied ... 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

... an equilibrium problem in the framework of Banach ...some strong convergence theorems to approximate a common fixed point of relatively quasi-nonexpansive mappings and the set of solutions of an ... See full document

... A). Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of obstacle, unilateral, free, moving, equilibrium ...the ... See full document

... and equilibrium problems, which arise in several branches of pure and applied sciences in a unified and general ...solving variational inequalities and related optimiza- tion problems, ... See full document

... mixed equilibrium problems include fixed point problems, optimization problems, variational inequality problems, Nash equilibrium problems, and the ... See full document

... following convergence theorem for approximation of fixed point of a nonexpansive mapping which is also a common solution to a system of generalized mixed equilibrium problems and variational ... See full document

... generalized equilibrium prob- lem and the set of common fixed points of a finite family of asymptotically κ-strict pseu- docontractive mappings in the intermediate sense, utilizing the method in ...following ... See full document

... Many problems in physics, optimization, and economics are seeking some elements of EPF , see 2, ...the equilibrium problem, see, for instance, ...a strong convergence ... See full document

... Recently, many authors have considered the problem of finding a common element of the fixed points set of relatively nonexpansive mapping, the solution set of equili- brium problem and solution set of variational ... See full document

... 5. Lions, JL, Stampacchia, G: Variational inequalities. Commun. Pure Appl. Math. 20, 493-517 (1967) 6. Yao, JC: Variational inequalities with generalized monotone operators. Math. Oper. Res. ... See full document

... 36. Wittmann, R: Approximation of fixed points of non-expansive mappings. Arch. Math. 58, 486-491 (1992) 37. Moudafi, A: Viscosity approximation methods for fixed-points problems. J. Math. Anal. Appl. 241, 46-55 ... See full document

... converges strongly to a fixed point x ∗ of T, also the solution of a variational inequality. As a special case, this projection method solves some quadratic minimization problem. The results here improve and extend ... See full document

... The strong convergence of the hybrid projection method is obtained in the framework of Hilbert ...spaces. Variational inequalities and fixed point problems of quasi-nonexpansive mappings ... See full document

... The generalized variational inequalities find application in economics and transporta- tion equilibrium, engineering sciences, etc. and have received much attention in the past decades [–]. It is ... See full document

... Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory ...Xu, Inequalities in Banach spaces with ... See full document

... of variational inequalities for a strongly positive linear bounded operator and the set of solutions of a mixed equilibrium problem is ...A strong convergence theorem for this iterative ... See full document