The split common fixed point problem with multiple output sets for demicontractive mappings

Abstract

In this paper, we investigate the split common split feasibility with multiple output sets when the relevant nonlinear mapping is demicontractive. To solve this problem, we propose several new methods and state their convergence theorems under some mild conditions. The split feasibility problem with numerous output sets is solved using the outcomes as an example.

Keywords:

• Split common split feasibility with multiple output sets
• demiclosedness principle
• demicontractive mappings

MSC Classifications:

• 47J25
• 47J20
• 49N45
• 65J15

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China [grant number 12101286], [grant number 11971216].