We study strong and ∆-convergence of a modified S-type iteration process inspired by Agarwal, O’Regal and Sahu (2007) for uniformly L-Lipschitzian and generalized asymptotically nonexpansive mappings in CAT(0) spaces.

Results pertaining to Lipschitzian and directional differentiability properties for solutions to generalized equations under very general perturbations are obtained with the aid of new differentiation concepts for multivalued maps.

We present some properties of real valued functions of bounded generalized variation of Riesz–Orlicz type including weight and characterize Lipschitzian superposition Nemytskii operators which map between spaces (in fact, Banach algebras) of these functions.

In this paper,we study the Ishikawa iterative sequences with errors for Lipschitzian strongly pseudo-contractive operator in arbitrary real Banach spaces. Our results improve the results obtained previously by C. E. Chidume [3] and Zeng [9].

The approximate subdifferential introduced by Mordukhovich has attracted much attention in recent works on nonsmooth optimization. Potential advantages over other concepts of subdifferentiability might be related to its nonconvexity. This is motivation to study some topological properties more in detail. As the main result, it is shown that any weakly compact subset of any Hilbert space may be ...

Recommended by Mohamed Khamsi Let S be a left amenable semigroup, let S {T s : s ∈ S} be a representation of S as Lipschitzian mappings from a nonempty compact convex subset C of a smooth Banach space E into C with a uniform Lipschitzian condition, let {μn} be a strongly left regular sequence of means defined on an S-stable subspace of l∞ S , let f be a contraction on C, and let {αn}, {βn}, and...

In this paper, we develop a series of extensions to scheduleindependent storage mapping using Quasi-Universal Occupancy Vectors (QUOVs) targeting tiled execution of polyhedral programs. By quasi-universality, we mean that we restrict the “universe” of the schedule to those that correspond to tiling. This provides the following benefits: (i) the shortest QUOVs may be shorter than the fully unive...

We present a novel approach to creating at maps of the brain. It is impossible to atten a curved surface in 3D space without metric and areal distortion; however, the Riemann Mapping Theorem implies that it is theoretically possible to preserve conformal (angular) information under attening. Our approach attempts to preserve the con-formal structure between the original cortical surface in 3-sp...