Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem

ABSTRACT

In this work, we introduce a self-adaptive algorithm, based on viscosity approximation methods, to solve split common fixed point problems of demicontractive operators in real Hilbert spaces. Besides, the strong convergence theorem for the algorithm is established under some additional assumptions. On top of that, numerical results on image restoration problems are given. It shows that our proposed algorithm is efficient and outperforms the other algorithms for this experiment.

KEYWORDS:

• Split common fixed point problem
• demicontractive operator
• self-adaptive algorithm
• viscosity approximation method
• image restoration problem

AMS SUBJECT CLASSIFICATIONS:

• 47J25
• 47H10
• 65K10

Acknowledgments

The authors would like to thank Chiang Mai University for the financial support.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Narawadee Phudolsitthiphat  http://orcid.org/0000-0002-1797-3146