[PDF] Top 20 Hybrid Viscosity Iterative Method for Fixed Point, Variational Inequality and Equilibrium Problems

... 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

... new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality ... See full document

... parallel hybrid viscosity iterative method for finding a common element of three solution sets: (i) finite split generalized equilibrium problems; (ii) finite variational ... See full document

... The iterative scheme ...extragradient method for finding a common element of the set of fixed points of a nonex- pansive mapping and the set of solutions of a variational inequality ... See full document

... an iterative scheme for finding a common element of the set of fixed points of a k-strictly pseudocontractive mapping, the set of solutions of a variational inequality and the set of solutions ... 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

... new iterative algorithms with variable coefficients for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of the variational inequality ... See full document

... and hybrid method we prove a strong convergence theorem for finding a common element of the set of fixed point problems of a finite family of i -strictly pseudocontractive mappings and ... 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 family of pseudo ... See full document

... an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points ... See full document

... new hybrid projection algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of the variational inequality for an inverse-strongly monotone ... See full document

... common fixed point set of finite family of closed relatively quasi-nonexpansive mappings, common solutions set of finite family of equilibrium problems, and common solutions set of finite ... See full document

... an equilibrium problem, the set of fixed points of a nonexpansive mapping and the set of solutions of a variational ...an equilibrium problem, the set of fixed points of a nonexpansive ... See full document

... ative method for finding the approximate element of the common set of solutions of ...this method. We would like to mention that our proposed method is quite general and flexible and includes many ... See full document

... For finding an element of F(S) ∩ Ω under the assumption that a set C ⊂ H is closed and convex, a mapping S of C into itself is nonexpansive and a mapping A of C into H is α-inverse strongly monotone, Takahashi and Toyoda ... See full document

... classical variational inequality (1.2) and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...a viscosity ... See full document

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

... (v) The proof method of Theorem . is more simple than the ones of Ceng et al. [] because we do not need to use the relaxed extragradient method. In fact, in the course of proof of Theorem ., Lemma . ... See full document

... Variational inequality theory, which was first introduced by Stampacchia [] in , emerged as an interesting and fascinating branch of applicable mathematics with a wide range of applications in ... See full document

... paper, fixed point problems of nonexpansive mappings and solution problems of generalized variational inequalities are investigated based on a viscosity approximate ... See full document