This paper deals with a bi-extrapolated subgradient projection algorithm by intro- ducing two extrapolated factors in the iterative step to solve the multiple-sets split feasibility problem. The strategy is intend to ...This paper deals with a bi-extrapolated subgradient projection algorithm by intro- ducing two extrapolated factors in the iterative step to solve the multiple-sets split feasibility problem. The strategy is intend to improve the convergence. And its convergence is proved un- der some suitable conditions. Numerical results illustrate that the bi-extrapolated subgradient projection algorithm converges more quickly than the existing algorithms.展开更多
In this paper,we introduce an inexact averaged projection algorithm to solve the nonconvex multiple-set split feasibility problem,where the involved sets are semi-algebraic proxregular sets.By means of the well-known ...In this paper,we introduce an inexact averaged projection algorithm to solve the nonconvex multiple-set split feasibility problem,where the involved sets are semi-algebraic proxregular sets.By means of the well-known Kurdyka-Lojasiewicz inequality,we establish the convergence of the proposed algorithm.展开更多
基金Supported by Natural Science Foundation of Shanghai(14ZR1429200)National Science Foundation of China(11171221)+4 种基金Shanghai Leading Academic Discipline Project(XTKX2012)Innovation Program of Shanghai Municipal Education Commission(14YZ094)Doctoral Program Foundation of Institutions of Higher Educationof China(20123120110004)Doctoral Starting Projection of the University of Shanghai for Science and Technology(ID-10-303-002)Young Teacher Training Projection Program of Shanghai for Science and Technology
文摘This paper deals with a bi-extrapolated subgradient projection algorithm by intro- ducing two extrapolated factors in the iterative step to solve the multiple-sets split feasibility problem. The strategy is intend to improve the convergence. And its convergence is proved un- der some suitable conditions. Numerical results illustrate that the bi-extrapolated subgradient projection algorithm converges more quickly than the existing algorithms.
基金Supported by the Natural Natural Science Foundation of China(Grant Nos.11801455,11971238)China Postdoctoral Science Foundation(Grant No.2019M663459)+1 种基金the Applied Basic Project of Sichuan Province(Grant No.20YYJC2523)the Fundamental Research Funds of China West Normal University(Grant Nos.17E084,18B031)。
文摘In this paper,we introduce an inexact averaged projection algorithm to solve the nonconvex multiple-set split feasibility problem,where the involved sets are semi-algebraic proxregular sets.By means of the well-known Kurdyka-Lojasiewicz inequality,we establish the convergence of the proposed algorithm.
