Weak convergence of a stochastic process defined on a function space is discussed. In doing so we explore various weak convergence results generically called functional central limit theorems or invariance principles. Emphasis is placed on how to apply those theorems to deal with statistics arising from nonstationary linear time series models. It turns out that, in most cases, the continuous ma...

This paper presents two inertial extragradient algorithms for finding a solution of split pseudomonotone equilibrium problems in the setting real Hilbert spaces. The weak and strong convergence theorems introduced are presented under some constraint qualifications scalar sequences. discussions on numerical experiments also provided to demonstrate effectiveness proposed algorithms.

Convergence is an issue being widely concerned about. Thus, in this paper, we mainly put forward two types of concepts of convergence in mean and convergence in distribution for the sequence of uncertain random variables. Then some of theorems are proved to show the relations among the three convergence concepts that are convergence in mean, convergence in measure and convergence in distributio...

In this work, we study iterative methods for the approximation of common attractive points two widely more generalized hybrid mappings in Hilbert spaces and obtain weak strong convergence theorems without assuming closedness domain. A numerical example supporting our main result is also presented. As a consequence, results can be applied to solving fixed point problem.

In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $Delta$-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature  generalize, unify and extend.

and Applied Analysis 3 Remark 1.6. The examples of weak relatively uniformly nonexpansive multivalued mapping can be found in Su 1 and Homaeipour and Razani 2 . Let E be a real Banach space, and let E∗ be the dual space of E. Let f be a bifunction from C × C to R. The equilibrium problem is to find x̂ ∈ C such that fx̂, y ≥ 0, ∀y ∈ C. 1.3 The set of solutions of 1.3 is denoted by EP f . Given a m...