[PDF] Top 20 Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces

... for weak Bregman relatively nonexpansive mappings and Bregman relatively non- expansive mappings are derived under some suitable ... See full document

... Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, ...Schu, Weak and strong convergence to fixed points of asymptotically nonexpansive ... See full document

... established weak convergence theorems for asymptotically nonex- pansive mappings in Banach spaces without assuming any of the following conditions: i E satisfies the Opial’s condition; ii T is ... See full document

... a fixed point theorem for the selfmaps of a closed convex and bounded subset of the Banach space satisfying a generalized nonexpansive type ...of fixed points with Krasnoselskii and ... See full document

... a fixed point theorem for the self mappings of a closed convex and bounded subset of the Banach space satisfying a generalized nonexpansive type ...of fixed points with ... See full document

... real Banach space, K a nonempty closed convex subset of E, and T : K → K a ...of fixed points of T , that is, FT {x ∈ K : Tx ...called nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ ...denote ... See full document

... finite-dimensional Banach spaces, and p (1 ≤ p < ∞ ) have the Opial ...separable Banach space can be equivalently renormed so that it has the Opial property; see ...a Banach space with the ... See full document

... called nonexpansive if kT x − T yk 6 kx − yk for all x, y ∈ ...the fixed points set of T , ...its fixed points set is nonempty and kT x − uk 6 kx − uk for all x ∈ K and u ∈ F (T ... See full document

... It is known that a weakly compact convex subsets of a Banach space and closed con- vex subsets of a uniformly convex Banach space are proximinal. We shall denote the family of nonempty bounded proximinal ... See full document

... Recently, a problem of finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping is studied by Takahashi and ... See full document

... Remark . (i) Theorem . improves and extends the corresponding results of Homaei- pour and Razani [] and Zegeye and Shahzad [] to the class of multi-valued Bregman relatively nonexpansive ... See full document

... fixed points of Banach operator pairs in hyperconvex ...fixed points for Banach operator pairs in the context of uniformly convex geodesic metric ...using Bregman functions, we propose to ... See full document

... Throughout the present paper, every linear space is real. We denote the set of positive integers by N. Let E be a Banach space with norm · . Then the dual space of E is denoted by E ∗ . The norm of E ∗ is also ... See full document

... quasi- nonexpansive mappings without using the demiclosedness principle in a Banach space E? Many problems in nonlinear analysis can be formulated as a problem of finding a fixed point of a ... See full document

... common fixed points of a countable family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in the framework of Banach ... See full document

... finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized ... See full document

... where A is a monotone-type operator acting from a Banach space E into E ∗ . Without loss of generality, we may assume b = . It is well known that a solution of the equation Ax =  (i.e., z, Ax = , ∀ z ∈ E) is a ... See full document

... of weak Bregman relatively non- expansive mappings in a reflexive Banach space and gave an example to illustrate the ex- istence of a weak Bregman relatively ... See full document

... is a Bregman weak relatively nonexpansive mapping for each i = , , . . . , n. We then prove some strong convergence theorems for these mappings. Some application of our results to ... See full document

... sive mappings T on C (that is, ||Tx - Ty|| ≤ ||x - y||, x, y Î C) as a ...is nonexpansive if and only if T is 0-strictly ...pseudo-contractive mappings falls into the one between classes of ... See full document