In this paper we provide a splitting algorithm for solving coupled monotone inclusions in real Hilbert space involving the sum of normal cone to vector subspace, maximally monotone, monotone-Lipschitzian, and cocoercive operator. The proposed method takes advantage intrinsic properties each operator generalizes partial inverses forward-backward-half forward splitting, among other methods. At it...

We study the convergence of the modified Noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Our results improves, extends and unifies the results of Schu [23] and Qin {it et al.} [25].  

An adaptive regularization algorithm using high-order models is proposed for partially separable convexly constrained nonlinear optimization problems whose objective function contains non-Lipschitzian `q-norm regularization terms for q ∈ (0, 1). It is shown that the algorithm using an p-th order Taylor model for p odd needs in general at most O( −(p+1)/p) evaluations of the objective function a...

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.