Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces

Abstract

We study the split common fixed point problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose two new algorithms and establish two strong convergence theorems for both of them. Moreover, using these methods, we also remove the assumptions imposed on the norm of the transfer operators.

Keywords:

• Multiple output sets
• nonexpansive mapping
• projection methods
• split common fixed point problem

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 47H09
• 47H10
• 49J53
• 90C25

Additional information

Funding

The first author was supported by the Basic Science Research Program through the National Research Foundation (NRF) Grant funded by Ministry of Education of the republic of Korea (2018R1D1A1B07045427). And the second author was supported by the Science and Technology Fund of Thai Nguyen University of Sciences.