[PDF] Top 20 A New Hybrid Algorithm for Variational Inclusions, Generalized Equilibrium Problems, and a Finite Family of Quasi-Nonexpansive Mappings

... Theorem 3.1. Let C be a nonempty closed convex subset of a real Hilbert space H, let F : C× C → R be a bifunction satisfying (A1)–(A5), let ϕ : C → R ∪ {∞} be a proper lower semicontinuous and convex function, let A : H ... See full document

... a new general iterative method for finding a common element of the set of solutions generalized for mixed equilibrium problems, the set of solution for fixed point for nonexpansive ... See full document

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

... a new modified block hybrid projection algorithm for finding a common ele- ment of the set of the variational inequality for an a-inverse-strongly monotone opera- tor, the set of solutions of ... See full document

... a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of nonexpansive mappings, the set of common solutions to a ... See full document

... inclusions covering, in particular, various forms of feasibility problems (see, e.g., []). In , Plubtemg and Sripard [] introduced the following iterative scheme for finding a common element of the ... See full document

... finite family of variational inclusions for maximal monotone and inverse-strongly monotone mappings with the constraints of two problems: a generalized mixed equilibrium ... See full document

... a new hybrid projection algorithm basing on the shrinking projection method for two finite families of closed relatively weak quasi-nonexpansive mappings to have strong ... See full document

... a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of ... See full document

... a new hybrid method, to prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problem ...of quasi-φ-asymptotically ... 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

... In this section, we consider solutions of variational inequalities. Let C be a nonempty, closed, and convex subset of a Banach space E. Let A : C → E ∗ be a single-valued mono- tone operator which is ... See full document

... bifunction equilibrium problem and a fixed point problem of relatively asymptotically nonexpansive mappings based on a generalized projection ... See full document

... Corollary 3.2. Let C be a nonempty closed convex subset of a real Hilbert space H. Let G : C × C → R be a bifunction satisfying conditions (A1)-(A4), ϕ : H → H be an θ -inverse- strongly monotone mapping and let A : C → ... See full document

... Corollary . Let C be a nonempty closed convex subset of H. Let T : C → C be an asymp- totically nonexpansive mapping. Let A : C → H be an α-inverse-strongly monotone map- ping, and let B be a maximal monotone ... See full document

... 33. Wu, C: Mann iteration for zero theorems of accretive operators. J. Fixed Point Theory 2013, Article ID 3 (2013) 34. Bruck, RE: Nonexpansive projections on subsets of Banach spaces. Pac. J. Math. 47, 341-355 ... See full document

... inverse-strongly monotone mapping for every  ≤ m ≤ N, where N denotes some positive integer. Let S : C → C be a continuous quasi-nonexpansive mapping which is assumed to be demiclosed at zero and let B : C ... See full document

... of quasi-φ -nonexpansive mappings and the class of asymptotically quasi-φ -nonexpansive mappings are more general than the class of relatively nonexpan- sive mappings and ... See full document

... As we all know that if C is a nonempty closed convex subset of a Hilbert space H and P C : H → C is the metric projection of H onto C, then P C is nonexpansive. This fact actually characterizes Hilbert spaces and ... See full document

... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document