The aim of this paper is to study an implicit iterative process for a finite family of T-Ciric quasi-contractive operators and also establish the strong convergence of above said iteration process using the common fixed points of a finite family of above said operators in the framework of CAT(0) spaces. Our results improve and extend some corresponding recent results from the current existing l...

The Mann iterative scheme was invented in 1953, see [7], and was used to obtain convergence to a fixed point for many functions for which the Banach principle fails. For example, the first author in [8] showed that, for any continuous selfmap of a closed and bounded interval, the Mann iteration converges to a fixed point of the function. In 1974, Ishikawa [5] devised a new iteration scheme to e...

This paper presents a new variable step-size normalized subband adaptive filter (VSS-NSAF) algorithm. The proposed algorithm uses the prior knowledge of the system impulse response statistics and the optimal step-size vector is obtained by minimizing the mean-square deviation(MSD). In comparison with NSAF, the VSS-NSAF algorithm has faster convergence speed and lower MSD. To reduce the computa...

â  â â â  â  abstract â  this paper examines convergence of real gdp per capita in the selected east asian countries and this relationship with selected middle east countries during the period 1950-2009. the reason behind this refers to the fact that east asia countries (including china, hong kong, singapore, malaysia, indonesia, thailand, japan and south korea) have been involved in achieving ...

In this paper, the Kadomtsev-Petviashvili equation is solved by using the Adomian’s decomposition method , modified Adomian’s decomposition method , variational iteration method , modified variational iteration method, homotopy perturbation method, modified homotopy perturbation method and homotopy analysis method. The existence and uniqueness of the solution and convergence of the proposed...

Markov Decision Process (MDP) is a well-known framework for devising the optimal decision making strategies under uncertainty. Typically, the decision maker assumes a stationary environment which is characterized by a time-invariant transition probability matrix. However, in many real-world scenarios, this assumption is not justified, thus the optimal strategy might not provide the expected per...

where f : E→ R is a convex function; see, for example, [1, 2, 8] and the references therein. It is well known that standard iterative methods for solving (1.2), which are designed for finite-dimensional optimization problems, cannot guarantee strong convergence of their iteration sequences to a solution of the initial problem if the cost function does not possess strengthened convexity properti...

The Fréchet mean generalizes the idea of averaging in spaces where pairwise addition is not well-defined. In general metric spaces, however, the Fréchet sample mean is not a consistent estimator of the theoretical Fréchet mean. For non-trivial examples, sequences of Fréchet sample mean sets may fail to converge in a set-analytical sense. Hence, it becomes necessary to consider other types of co...