[PDF] Top 20 Fixed points of monotone nonexpansive mappings with a graph

... oriented graph if whenever (u, v) ∈ E(G), then (v, u) / ∈ ...undirected graph obtained from G by ignoring the direction of ...directed graph for which the set of its edges is ... See full document

... After this, different authors considered the problem of existence of a fixed point for con- traction mappings in partially ordered metric spaces; see [, –] and references cited therein. Nieto et al. in [] ... See full document

... to mappings on a metric space endowed with a ...G-nonexpansive mappings on ...multivalued mappings defined on a metric space with a ...fixed points for multivalued mappings on a ... See full document

... In this section we discuss a construction of a common approximate fixed point sequence of two monotone nonexpansive mappings defined on a Banach space (X, · ) endowed with a partial order as described ... See full document

... In this work, we discuss the existence of fixed points of monotone nonexpansive mappings defined on partially ordered Banach spaces. This work is a continuity of the previous works of Ran and ... See full document

... [2] , Metric and generalized projection operators in Banach spaces: properties and applications, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type (A. G. Kart- satos, ed.), Lecture ... See full document

... The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, have been recently introduced. In this paper we investigate ... See full document

... of fixed points of that mapping. In this way, we approximate fixed points of a multivalued nonexpansive mapping through an iteration scheme which is independent of but faster than ... See full document

... A Banach space X is said to have the fixed point property if for each nonexpansive mapping T : E → E on a bounded closed convex subset E of X has a fixed point. We show that each infinite dimensional Abelian complex ... See full document

... In a linear domains with some geometric structure have been studied extensively, one of such structures is convexity. Since every Banach space is a vector space, it is easier to assign a convex structure to it. However, ... See full document

... A fixed point theorem for two quasi-nonexpansive mappings is proved and is then extended for a finite family of mappings It is shown that results of this paper reduces to those of Ishika[r] ... See full document

... and fixed points of nonexpansive maps,” in Workshop/Miniconference on Functional Analysis and Optimization (Canberra, 1988), ...“The fixed point property for some uniformly ... See full document

... 2 I. Yamada, “The hybrid steepest descent method for the variational inequality problem over the in- tersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in ... See full document

... In a uniformly Banach space, Senter and Dotson, Jr., have conditions under which the sequence of Mann types of iterates of a quasi-nonexpansive mapping converges to a fixed point of the mapping in question. ... See full document

... the fixed point property, if for each nonexpansive mapping T : E −→ E on a nonempty bounded closed convex subset E of X has a fixed ...the fixed point ... 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

... be nonexpansive if ∥ tx − ty ∥ ≤ ∥ x − y ∥ for all x, y ∈ ...of fixed points of t, that is F (t) = { x ∈ C : x = tx } ...asymptotic fixed point of t (see [11]) if C contains a sequence { x n } ... See full document

... Remark 2.8. Theorem 3 in 3 and Theorem 1 in 7 and 8 are special cases of Corollary 2.7. Corollary 2.9. Let X be a nonempty closed subset of a Banach space E, · and let T : X, · → E, · be quasi-nonexpansive. Assume ... See full document

... Inspired and motivated by the results in [1–11], in this paper we introduce the con- cepts of the Mann and Ishikawa iteration sequences in hyperspaces, and establish the con- vergence theorems for the Mann and Ishikawa ... See full document

... In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for nonexpansive type mappings under certain conditions.. 2000 Mathematics Subje[r] ... See full document