[PDF] Top 20 Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces

... optimization problems, but also algorithms for solving variational inequalities, for approximating equi- libria, for computing fixed points of nonlinear mappings and so on (see, ...presented ... See full document

... two strong convergence theorems of maximal monotone operators in reflexive Banach ...the convergence of two iterative algorithms for finitely many Bregman strongly ... See full document

... paper, Bregman strongly nonexpansive multi-valued mappings in reflexive Ba- nach spaces are ...conditions, strong convergence theorems for the proposed modified Halpern’s ... 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

... Hilbert spaces; see for example Blum and Oettli [], Combettes and Hirstoaga ...obtain weak and strong convergence theorems for finding a common element of the set of solutions of an ... See full document

... of mappings called Bregman weak relatively nonexpansive mappings and propose new hybrid iterative algorithms for finding common fixed points of an infinite family of such ... See full document

... a Bregman weak relatively nonexpansive mapping for each i = , , ...some strong convergence theorems for these ...reflexive Banach space ... See full document

... Let D be a nonempty closed convex subset of a real Banach space X. A single-valued mapping T : D ® D is called nonexpansive if ||T(x) - T(y)|| ≤ ||x - y|| for all x, y Î D. Let N(D) and CB(D) denote the ... See full document

... following strong convergence ...convex Banach space, let K be a nonempty closed convex subset of E, let T : K → K be a nonexpansive mapping with nonempty fixed points set F, and let T be ... See full document

... demicompact mappings, see [1, 2, 12, ...be nonexpansive if Tx − T y ≤ x − y for every x, y ∈ ...all nonexpansive mappings from C into ...convex Banach space, then F(T) is convex for ... See full document

... of relatively nonexpansive mappings in Banach ...obtained weak and strong convergence theorems to approximate a fixed point of a single relatively ... See full document

... of nonexpansive mappings. We prove strong conver- gence and weak convergence theorems in the framework of Banach ... See full document

... of nonexpansive mappings and their ...are weak convergence for nonexpansive mappings only; see [] and [] for the classic weak con- vergence ...[], problems ... See full document

... called nonexpansive if Sx − Sy ≤ x − y for all x, y ∈ ...the equilibrium problem 1.4 and the set of fixed points of a relatively nonexpansive mapping S in a Banach space ...the ... See full document

... Proof. Let α n = λ for each n ∈ N ∪ { 0 } . It is clear that lim inf n →∞ α n (1 − α n ) = λ(1 − λ) > 0. We show that if T is nonexpansive, then T is relatively nonexpansive. It is obvious that ... See full document

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ...“A strong convergence theorem for relatively ... See full document

... of relatively nonexpansive mappings and quasi-φ -nonexpansive mappings have been considered by many authors; see, for example [1-12] and the references ...point problems of a ... See full document

... of relatively nonexpansive mappings in a Banach ...several convergence theorems announced by many authors but also prove them under weaker ...a relatively ... See full document

... for all x ∈ E. It is known that E is smooth if and only if the duality mapping J is single valued, and that if E has a uniformly Gâteaux differentiable norm, J is uniformly norm-to- weak ∗ continuous on each ... See full document