[PDF] Top 20 Iterative methods for mixed equilibrium problems and strictly pseudocontractive mappings

... explicit iterative schemes for finding a common element of the set of solutions of the mixed equilibrium problem and the set of fixed points of a k-strictly pseudocontractive non-self ... See full document

... of strictly pseudocontractive mappings, the set of common solutions of generalized mixed equilibrium problems and the set of common solutions of the variational inequalities with ... See full document

... new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of k-strictly pseudocontractive mappings and the set of common solutions ... See full document

... of strictly pseudocontractive mappings has been studied by several authors see, ...their iterative methods are far less developed though Browder and Petryshyn 1 initiated their work in ... See full document

... asymptotically strictly pseudocontractive mappings in the intermediate sense, the set of solutions of the cocoercive quasivariational inclusions problems, and the set of solutions of the ... See full document

... Corollary 3.2. Let C be a nonempty closed convex subset of a Hilbert space H. Let Θ be a bifunction from C × C to R satifies (A1)–(A4). Let T be a k-strictly pseudocontractive mapping of C into itself. Let ... See full document

... Iterative methods for nonexpansive mappings and strictly pseudocontractive mappings have recently been applied to solve the optimization problem, where the constraint set is the ... See full document

... It is well known that iterative methods for nonexpansive mappings can be used to solve a convex minimization problem: see, e.g., [–] and the references therein. A typical problem is that of ... See full document

... on iterative methods for strict pseudocontractive mappings was initiated by Browder and Petryshyn [] in , but the iterative methods for strict pseudocontrac- tive ... See full document

... Recently, many authors investigated problems (.), (.) and (.) based on iterative methods. In , Takahashi and Toyoda [] investigated fixed points of nonexpansive mappings and ... See full document

... new iterative scheme by a hybrid method and prove a strong convergence theorem of a common element in the set of fixed points of a finite family of closed quasi-Bregman strictly pseudocontractive ... See full document

... The mixed equilibrium problem (MEP) includes several important problems arising in physics, engineering, science optimization, economics, transportation, network and structural analysis, Nash ... See full document

... inclusion problems, saddle point problems, variational inequality problems, minimization problems, the Nash equilibria in noncooperative games, vector equilibrium problems, as ... See full document

... approximation iterative method to prove a strong convergence theorem for finding a common element of the set of fixed points of strict pseudocontractions, the set of common solutions of the system of generalized ... See full document

... auxiliary problems for the MEP(f , ϕ, C) when the bifunction f is relaxed ξ -monotone by using the well-known KKM ...hybrid iterative scheme converges strongly to a common element of the set of MEP(f , ϕ, ... See full document

... 13. Mann, WR: Mean value methods in iteration. Proc. Am. Math. Soc. 4, 506-510 (1953) 14. Genel, A, Lindenstruss, J: An example concerning fixed points. Isr. J. Math. 22, 81-86 (1975) 15. Khan, MA, Yannelis, NC: ... See full document

... for all v Î C. The set of solutions of the variational inequality is denoted by VI(C, A). In 2005, Combettes and Hirstoaga [3] introduced some iterative schemes of finding the best approximation to the initial ... See full document

... Theorem . Let C be a closed convex subset of a real -uniformly smooth Banach space E, let the mappings A, B : C → E be α-inverse-strongly accretive and β-inverse-strongly accretive with F (G) = ∅, where G : C → ... See full document

... Theorem . Let C be a nonempty closed convex subset of a real Hilbert space H and let F : C × C → R be a bifunction satisfying conditions (H)-(H). Let A : C → H be an α -inverse- strongly monotone mapping and let S : ... See full document

... point problems concerning the nonexpansive mapping is ...an iterative scheme for finding a solution of the system of variational inequalities in Banach ... See full document