This paper proposes a two-point inertial proximal point algorithm to find zero of maximal monotone operators in Hilbert spaces. We obtain weak convergence results and non-asymptotic O(1/n) rate our proposed non-ergodic sense. Applications various well-known convex optimization methods, such as the method multipliers alternating direction are given. Numerical given demonstrate accelerating behav...

We prove an abstract form of the strong convergence Halpern-type and Tikhonov-type proximal point algorithms in CAT(0) spaces. In addition, we derive uniform computable rates metastability (in sense Tao) for these iterations using proof mining techniques.

Point clouds registration is an important step for laser scanner data processing, and there have been numerous methods. However, the existing methods often suffer from low accuracy speed when registering large point clouds. To meet this challenge, improved iterative closest (ICP) algorithm combining random sample consensus (RANSAC) algorithm, intrinsic shape signatures (ISS), 3D context (3DSC) ...

‎our contribution in this paper is to propose an iterative algorithm which does not require prior knowledge of operator norm and prove a strong convergence theorem for approximating a solution of split equality fixed point problem for quasi-nonexpansive mappings in a real hilbert space‎. ‎so many have used algorithms involving the operator norm for solving split equality fixed point problem‎, ‎...

Nowadays, with extending applications of bi-layer metallic sheets in different industrial sectors, accurate specification of each layer is very prominent to achieve desired properties. In order to predict behavior of sheets under different forming modes and determining rupture limit and necking, the concept of Forming Limit Diagram (FLD) is used. Optimization problem with objective functions an...