Title of article :
A Generalized Self-Adaptive Algorithm for the Split Feasibility Problem in Banach Spaces
Author/Authors :
Sunthrayuth ، Pongsakorn Department of Mathematics and Computer Science - Faculty of Science and Technology - Rajamangala University of Technology Thanyaburi (RMUTT) , Tuyen ، Truong Minh Department of Mathematics and Informatics - Faculty of Science - Thai Nguyen University of Sciences
Abstract :
In this paper, we propose a generalized self-adaptive method for solving the multipleset split feasibility problem in the framework of certain Banach spaces. Under some suitable conditions, we prove the strong convergence of the sequence generated by our method with a new way to select the step-sizes without prior knowledge of the operator norm. Several numerical experiments to illustrate the convergence behavior are presented. The results presented in this paper improve and extend the corresponding results in the literature.
Keywords :
Metric projection , Banach space , Strong convergence , Self , adaptive method , Multiple , set split feasibility problem
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
