Convergence-preservation criteria for a generalized Hausdorff mean.

Size of Convergence Domains for Generalized Hausdorff Prime Matrices

The convergence domain of an infinite matrix A ank n, k 0, 1, . . . will be denoted by A and is defined by A : {x {xn} | An x ∈ c}, where c denotes the space of convergence sequences, An x : ∑ k ankxk. The necessary and sufficient conditions of Silverman and Toeplitz for a matrix to be conservative are limnank ak exists for each k, limn ∑∞ k 0 ank t exists, and ||A|| : supn ∑∞ k 0 |ank| < ∞. A ...

almost convergence through the generalized de la vallée-poussin mean

lorentz characterized the almost convergence through the concept of uniform convergence of de lavallée-poussin mean. in this paper, we generalize the notion of almost convergence by using the concept ofinvariant mean and the generalized de la vallée-poussin mean. we determine the bounded linear operators forthe generalized σ-conservative, σ-regular and σ-coercive matrices.

Hausdorff Dimension and mean porosity

Convergence Criteria of Generalized Hybrid Proximal Point Algorithms

In this paper, we introduce and analyze some generalized hybrid proximal point algorithms for finding a common element of the set of zeros of a maximal monotone operator and the set of fixed points of a nonexpansive mapping in a Hilbert space. These algorithms include the previously known proximal point algorithms as special cases. Weak and strong convergence of the proposed proximal point algo...

Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings

The purpose of this paper is to study the convergence and the almost sure T-stability of the modied SP-type random iterative algorithm in a separable Banach spaces. The Bochner in-tegrability of andom xed points of this kind of random operators, the convergence and the almost sure T-stability for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. Our result...