[PDF] Top 20 Coupled fixed point theorems for asymptotically nonexpansive mappings

... In the past years, many researchers have proved various results on the theory of nonex- pansive mappings (or contractions). The mean ergodic theorem for contractions in uni- formly convex Banach spaces was proved ... See full document

... a nonexpansive retraction P : X → K such that Px x for all x ∈ ...converging fixed points of nonexpansive nonself-mappings have been studied by many authors see, ...convergence theorems ... See full document

... of asymptotically nonexpansive type of a right reversible semitopological semigroup and strong convergence for a com- mutative ...a nonexpansive semigroup in CAT() spaces as well as a strong ... See full document

... of fixed points for the mappings of asymptotically non-expansive type in a Banach space with its characteristic of noncompact convexity associated to the separation measure of noncompactness less ... See full document

... Fixed point theory of nonlinear mapping is a popular research topic of common interest in two areas of nonlinear analysis and ...fixed point techniques have been applied in such diverse fields as ... See full document

... -nonexpansive mappings and the class of asymptotically quasi-φ -nonexpansive mappings are generalizations of the class of quasi-nonexpansive mappings and the class of ... See full document

... scheme 1.6 reduces to the three-step iteration with errors defined by 12, 13, and others. The purpose of this paper is to study the iterative sequences 1.6 to converge to a common fixed point of three ... See full document

... fixed point problem of a finite family of asymptotically quasi- φ -nonexpansive mappings in the intermediate sense and an equilibrium ...convergence theorems of common solutions are ... See full document

... convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...mappings. Fixed Point ... See full document

... convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...mappings. Fixed Point ... See full document

... Let (X , d) be a metric space and x, y ∈ X with d(x, y) = l. A geodesic path from x to y is a isometry c : [0, l] → X such that c(0) = x and c(l) = y. The image of a geodesic part is called a geodesic segment. A metric ... See full document

... approximate fixed points of nonself ({µ n }, {v n }, ζ )− total asymptotically nonexpan- sive mappings via new iterative scheme and establish strong and ∆−convergence theorems in the setup of ... See full document

... of mappings considered in our work. Keywords: asymptotically nonexpansive maps; asymptotically k-strictly pseudocontractive maps; fixed points; strong convergence; Hilbert ... See full document

... of fixed point of non- expansive mapping is an important subject in the theory of nonexpansive mappings and finds applications in a number of applied areas, in particular, in image recovery ... See full document

... The purpose of this paper is to establish convergence results of iteration process () for asymptotically nonexpansive mappings on a nonlinear domain ((UC) hyperbolic spaces) which includes both (UC) ... See full document

... fixed point for generalized asymptotically quasi-nonexpansive mappings in real Banach spaces and give the necessary and sufficient condition for convergence of three-step iterative sequence with ... See full document

... Fixed point theorems for a class of generalized nonexpansive mappings Fatemeh Lael 1* and Zohre Heidarpour 2.. * Correspondence:.[r] ... See full document

... studied fixed point theorems for mappings satisfying different contractive conditions (see [7- ...a coupled coincidence point of a mapping F from X × X into X and a mapping g ... See full document

... a fixed point in U or there is a point u Î ∂U and l Î (0,1) with u = l F(u); here U and ∂ U denote the closure of U in C and the boundary of U in C, ... See full document

... fixed point problems, and zero point problems have been investigated by many authors based on iterative methods; see, for example, [–] and the references ...zero point problems of the sum of a ... See full document