[PDF] Top 20 Convergence of iterates of pre-mean-type mappings

... The convergence of the iterates of the mean-type mappings have appeared to be useful in solving some functional equations ( [20], [21], [24]- [27] ...logarithmic mean in the ... See full document

... initial iterates, one can construct two monotone sequences which converge monotonically from above and below, respectively, to the solutions of the ...Quadratic convergence is also proved for the ... See full document

... for convergence of the Ishikawa iterates of a quasi-nonexpansive mapping on a closed convex subset C of a Banach ...Ishikawa iterates with errors, in the sense of Liu [10], of an asymptotically ... See full document

... Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1 -spaces for general von Neumann algebra and general JBW algebras, as well as for Se[r] ... See full document

... In 2003, Sun [21] has recently extended an implicit iteration process for a finite family of nonex- pansive mapping due to Xu and Ori [26] to the case of asymptotically quasi-nonexpansive mappings. Recently, ... See full document

... strong convergence theorems of an implicit iteration process with errors to converge to common fixed points for a finite family of uniformly L-Lipschitzian total asymptotically pseudo- contractive mappings ... See full document

... According to the above definition, Haghi et al. [] studied the T -stability of Picard’s iteration for generalized φ -contraction mappings on a metric space. Also Olatinwo and Postolache [] studied the stability ... See full document

... The above terminology is used because of its similarity to the metric case. Since ρ does not behave in general as a distance, one should be very careful when dealing with these notions. In particular, ... See full document

... Abstract. Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this paper, we introduce an iteration scheme with errors in the sense of Xu (1998) generated by { T j : C → C } r j=1 as ... See full document

... strong convergence of general implicit iterative process studied by Qin et ...quasi-nonexpansive type mappings on a closed convex unbounded set in a real uniformly convex Banach ... See full document

... the iterates of a typical element (in the sense of Baire’s categories) of a class of con- tinuous self-mappings of K converge uniformly on K to the unique fixed point of this typical ... 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

... “On Convergence of a Sequence in Complete Metric Spaces and its Applications to Some Iterates of Quasi-Nonexpansive Mappings,” Journal of Mathematical Analysis and Applications, ... See full document

... Our paper is organized as follows. In Section , we recall some definitions and some pre- liminary results. In Section , we prove mean convergence theorems by using sequences of means on l ∞ ; see ... See full document

... [Strong convergence theorems for a common fixed point of a finite family of Lipschitz hemicontractive-type multivaled mappings, ...multi-valued mappings under appropriate ... See full document

... strong convergence theorems are proved in Hilbert spaces for new classes of multivalued demicontractive-type and hemicontractive-type mappings which are related to the class of multivalued ... See full document

... G-contractive type mappings and proved ∆-convergence as well as strong convergence in a nonempty closed and convex subset of a uniformly convex and complete b-metric space with a directed ... See full document

... Agarwal-O’Regan-Sahu type iterative scheme introduced in [] from Banach spaces to hyperbolic ...of convergence is similar to the Picard iteration process and faster than other fixed point iteration ... See full document

... Jung and Sakai Journal of Inequalities and Applications 2012, 2012:237 http://www.journalofinequalitiesandapplications.com/content/2012/1/237.. Mean and uniform convergence of Lagrange in[r] ... See full document

... the pre-industrial experiment, the global annual mean surface air temperature (SAT) is ...with pre-industrial temperature estimates ...zonal mean SAT (Fig. 2a) shows that the annual ... See full document