[PDF] Top 20 Parallel hybrid viscosity method for fixed point problems, variational inequality problems and split generalized equilibrium problems

... of generalized equilibrium problem ...the equilibrium problem when the bifunction h is a zero mapping; this problem reduces to the mixed equilibrium problem when the bifunction h(x ∗ , x) = ... See full document

... iterative method for finding a common element of the set of solutions of a gener- alized mixed equilibrium problem ...of fixed points of a countable family of nonexpansive mappings, and the set of ... See full document

... extragradient method (.) for finding a common element of a fixed point of nonexpansive mapping and a set of solu- tions of variational inequalities, but the convergence result was still the weak ... See full document

... of generalized varia- tional inequalities involving two or three three nonlinear operators has been studied by many authors; see [1-6] and the references ...The generalized variational inequali- ties ... See full document

... optimization problems, variational inequalities, minimax problems, and Nash equilibrium problems; see, for example, ...system generalized equilibrium ... See full document

... a 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 ... See full document

... Given a mapping T : C ® H, let G(x, y) = 〈 Tx, y - x 〉 for all x, y Î C. Then, z Î EP (F) if and only if 〈 Tz, y - z 〉 ≥ 0 for all y Î C, i.e., z is a solution of the variational inequality. Let A : C ® H ... See full document

... There are a substantial number of numerical methods including projection technique and its variant forms, Wiener-Hopf equations, the auxiliary principle technique, and re- solvent equations methods for solving ... See full document

... the variational inclusion problem 1.8 is equivalent to variational inequality problem ...plementarity, variational inequalities, optimal control, mathematical economics, equilibria, game ...of ... See full document

... iterative method for finding a common solution of a variational inequality, a generalized mixed equilibrium problem, and a hierarchical fixed point problem in the setting of real ... 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, ... See full document

... new method for a system of generalized equilibrium problems, system of variational inequality problems, and fixed point problems by using S-mapping ... See full document

... iterative method of finding the best approximation to the initial data when EPΘ is nonempty and proved a strong convergence ...the viscosity approximation method for finding a common element of the ... See full document

... the split feasibility problem (SFP) has been rapidly investigated and studied because of its applications in different areas such as signal processing, phase retrievals, image reconstruction, intensity-modulated ... See full document

... 24 S. Reich, “A weak convergence theorem for the alternating method with Bregman distances,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, A. G. Kartsatos, Ed., vol. 178 of ... See full document

... the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of infinitely many ... 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

... Let H be a real Hilbert space with the inner product and the norm being denoted by ·, · and · , respectively. Let C be a nonempty, closed, and convex subset of H and let F be a bifunction of C × C into R, where R denotes ... See full document

... [26] G. Marino, V. Colao, L. Muglia, and Y. Yao, “Krasnoselski-Mann iteration for hierarchical fixed points and equilibrium problem,” Bulletin of the Australian Mathematical Society, vol. 79, no. 2, pp. ... See full document

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