[PDF] Top 20 An alternative extragradient projection method for quasi equilibrium problems

... The equilibrium problem has been considered as an important and general framework for describing various problems arising in different areas of mathematics, including op- timization problems, ... See full document

... In 2008, S. Takahashi and W. Takahashi 24 introduced the following iterative scheme for finding a common element of the set of solutions of mixed equilibrium problems and the set of fixed points of a ... See full document

... hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problems and the ... See full document

... element problems of the generalized equilibrium problem (.) and quasi-nonexpansive mappings based on the shrinking projection algo- ... See full document

... the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium ... See full document

... Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. Recall that a mapping T of H into itself is called nonexpansive see 1 if Tx − Ty ≤ x − y for all x, y ∈ H. We denote by FT {x ∈ C : Tx x} ... See full document

... 33. Kim, JK: Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive mappings. Fixed Point ... See full document

... for quasi-φ-asymptotically nonexpansive (see [–]) and total quasi-φ-asymptoti- cally nonexpansive (see [–]) ...hybrid projection al- gorithm to obtain strong convergence theorems for fixed point ... See full document

... hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...for equilibrium and fixed point ...iterative ... See full document

... approximation equilibrium problems for strongly mono- tone or monotone and Lipschitz-type continuous bifunctions on ...iteration method for finding a common element of the set of common fixed points ... See full document

... Let C be a nonempty closed convex subset of E. Let T : C → C be a mapping. In this paper, we use F(T ) to denote the set of fixed points of T . Recall that T is said to be an α-contractive mapping iff there exists a ... See full document

... total quasi-φ -asymptotically nonexpansive semigroups; to modify the Halpern and Mann-type iteration algorithm [, ] for total quasi-φ-asymptotically nonexpansive semigroups; and to have the strong ... See full document

... point problems, and zero point problems have been investigated by many authors based on iterative methods; see, for example, [–] and the references ...point problems of the sum of a maximal ... See full document

... [], problems arise in infinite dimensional spaces. In such problems, strong convergence is often much more desirable than weak convergence, for it translates the physically tangible ...of projection ... See full document

... split equilibrium problem of pseu- domonotone and Lipschitz-type continuous bifunctions and split fixed point problem of nonexpansive mappings in real Hilbert ... See full document

... vector quasi-equilibrium problems include many rather general problems as particular cases mentioned in Section , from the results of Section  we can derive consequences for such special ... See full document

... bilevel equilibrium problems have been studied extensively by many ...proximal method and proved the weak convergence to a solution of problem ...proximal method with the Halpern method ... See full document

... Theorem . Let E be a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property and let C be a nonempty closed and convex subset of E. Let f be a bifunction from C × C to R satisfying ... See full document

... point problems of nonlinear operators, which include many important problems in nonlinear analysis and optimization such as the Nash equilibrium problem, variational inequalities, complementarity ... See full document

... Let H be a real Hilbert space with inner product ·, · and induced norm · and let C be a nonempty closed convex subset of H. Let ϕ : C → R ∪ {∞} be a function and let F be a bifunction from C × C to R, where R is the set ... See full document