[PDF] Top 20 Approximating fixed points of nonexpansive and generalized nonexpansive mappings

... If T satisfies Condition-A, where F is the nonempty fixed point set of T in C, then, for an arbitrary x0 C, the Picard iterates {S"x0} converge to a member of F.. We may note that C need[r] ... See full document

... for nonexpansive mappings in Banach ...for generalized nonexpansive mappings, which, in turn, generalize the corresponding results of Takahashi and Kim ... See full document

... strongly generalized nonexpansive mappings and present the analogue version of the result above for Ibaraki-Takahashi’s generalized nonexpansive ...relatively nonexpansive ... See full document

... for approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes or the Ishikawa ietration ...of ... See full document

... called nonexpansive. The nonexansive mappings have been studied by Kirk and Goebel [6] for fixed ...of generalized nonexpansive mappings characterized by the ... See full document

... Let X be a nonempty compact subset of a Banach space (E, · ), and let C(X) and CC(X) denote the families of all nonempty compact and all nonempty compact convex subsets of X, respectively. It is well known that (C(X), H ... See full document

... every nonexpansive single-valued mapping defined on a bounded closed convex subset of a complete CAT0 space always has a fixed ...the fixed point theory for single-valued and multivalued ... See full document

... fixed points set F(T ) in D will be said to satisfy condition A [2, 4] if there is a nondecreasing function f : [0,∞) → [0,∞) with f (0) = 0, f (r ) > 0 for r ∈ (0,∞), such that x − Sx ≥ f (d(x,F(T ))) for all x ... See full document

... 1. Introduction. Let E be a real Banach space and let C be a nonempty closed convex subset of E. Then a mapping T of C into itself is called nonexpansive if T x − T y ≤ x − y for all x,y ∈ C. A mapping T of C into ... See full document

... fixed points of single-valued mappings in modular function spaces has been studied by many ...fixed points in such spaces via convergence of an iterative process for single-valued mappings has ... See full document

... every nonexpansive self-mapping defined on every weakly compact and convex subset of E has a fixed ...weak fixed point property. Here, it can be pointed out that a nonexpansive self-mapping ... See full document

... and generalized projection operators in Banach spaces: properties and applications, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type ...of fixed point theory in Hilbert and ... See full document

... 1. Introduction. Let D be a nonempty, closed, and convex subset of a uniformly convex Banach space B, and T : D → D with fixed point set F(T ). Recently, Ghosh and Debnath [1] introduced the generalized versions of ... See full document

... a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in a Banach space ...the generalized projection ... See full document

... for approximating fixed points of nonexpansive mappings and their generalizations (asymptotically nonexpansive mappings, ... See full document

... for approximating fixed points of nonself nonexpansive mappings have been studied by various authors (see ...for approximating fixed points of nonself ... See full document

... 1. [[3], Proposition 2.4] Let K be a convex subset of X which is complete in the induced metric. Then for every x Î X, there exists a unique point P(x) Î K such that d(x, P(x)) = inf{d(x, y): y Î K}. Moreover, the map x ... See full document

... nonexpansvie mappings is a natural generalization of the important class of nonexpansive ...for approximating fixed points of asymptotically nonexpansive mappings have ... See full document

... For nonexpansive multivalued mappings, Sastry and Babu [19] defined the Mann and Ishikawa iteration process in a Hilbert space. Panyanak [20], and Song and Wang [16] extended the re- sults of Sastry and ... See full document

... common fixed point theorems by employing the recently introduced notion of weak reciprocal ...compatible mappings as well as noncompatible ...common fixed points under contractive conditions, ... See full document